Paper Citation Record · LEDGER

On the local well-posedness of fractionally dissipated primitive equations with transport noise

As of 11 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 1 inbound Pith citation observation for arXiv:2501.09956.

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pith.paper-citation-record.v1
2501.09956 v1

Coverage vector

measured 61 of 61 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T19:45:35.930035Z

measured 62 of 62 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:19:01.313456Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T21:19:03.465781Z

Reference resolution

61 of 61 outbound references displayed

verified exact3
verified fuzzy53
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External citation measurements

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Outbound references

Observation e95ff0c5-5dea-4373-b945-ba96f8613eb8 · outbound

This paper cites On the Dirichlet Fractional Laplacian and Applications to the SQG Equation on Bounded Domains.

On the local well-posedness of fractionally dissipated primitive equations with transport noise On the Dirichlet Fractional Laplacian and Applications to the SQG Equation on Bounded Domains

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:45:36.053112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ad4bbf3e-1ba9-4475-8f13-c22fe7c80d3c · outbound

This paper cites W ell-posedness and ill-posedness of the primitive equations with fraction al horizontal dissipation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise W ell-posedness and ill-posedness of the primitive equations with fraction al horizontal dissipation

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.686762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b2ad47d6-782f-4397-8440-ed5448830d53 · outbound

This paper cites Sobolev spaces.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Sobolev spaces

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T19:45:35.599175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8c16c50-67fa-45ed-af27-88332e532710 · outbound

This paper cites The primitive equations with rough transport noise: Global well-posedness and regularity.

On the local well-posedness of fractionally dissipated primitive equations with transport noise The primitive equations with rough transport noise: Global well-posedness and regularity

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T19:45:35.603457Z

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Unavailable: canonical work link unavailable.

Observation 07e5ec7e-8289-4521-9ab9-e683d64e66e2 · outbound

This paper cites Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T19:45:35.607888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0d17d47-add4-4602-b2b6-4cd24ce3afa1 · outbound

This paper cites The stochastic primitive equations with non-isothermal turbulent pressure.

On the local well-posedness of fractionally dissipated primitive equations with transport noise The stochastic primitive equations with non-isothermal turbulent pressure

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:45:36.014143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 260433a5-7296-47aa-bc3b-0164a60a1a50 · outbound

This paper cites The stochastic primitive equations with transpor t noise and turbulent pressure.

On the local well-posedness of fractionally dissipated primitive equations with transport noise The stochastic primitive equations with transpor t noise and turbulent pressure

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.667634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fb4c2f73-0af4-41d5-a736-1601dd1e01eb · outbound

This paper cites On the well-posedness of stochastic Boussinesq equations wit h transport noise.

On the local well-posedness of fractionally dissipated primitive equations with transport noise On the well-posedness of stochastic Boussinesq equations wit h transport noise

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.655633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation be3f320c-64bf-4d73-8e92-6e7f8681ee92 · outbound

This paper cites Mathematical ju stiﬁcation of the hydrostatic approximation in the primiti ve equations of geophysical ﬂuid dynamics.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Mathematical ju stiﬁcation of the hydrostatic approximation in the primiti ve equations of geophysical ﬂuid dynamics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.643764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ef4fde4e-2254-4771-b8db-08509f319756 · outbound

This paper cites W ell-posedness of the 3D stochastic primitive equations with multiplicat ive and transport noise.

On the local well-posedness of fractionally dissipated primitive equations with transport noise W ell-posedness of the 3D stochastic primitive equations with multiplicat ive and transport noise

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.632137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5f3b83be-bf73-4184-b201-d24cbbb11689 · outbound

This paper cites Some nonlinear problems involving no n-local diﬀusions.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Some nonlinear problems involving no n-local diﬀusions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.620731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2207ee85-a3c5-4743-ac9d-0dd05dc6fa3a · outbound

This paper cites Drift diﬀusion equ ations with fractional diﬀusion and the quasi-geostrophic equation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Drift diﬀusion equ ations with fractional diﬀusion and the quasi-geostrophic equation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.608996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 02c1595e-259e-4738-bc62-178ace5299b6 · outbound

This paper cites Finite-time blowup for the inviscid primitive eq ua- tions of oceanic and atmospheric dynamics.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Finite-time blowup for the inviscid primitive eq ua- tions of oceanic and atmospheric dynamics

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.597486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9664425c-e086-4637-b7a9-c00796d8f3d6 · outbound

This paper cites Global well-posednes s of the three-dimensional viscous primitive equations of l arge scale ocean and atmosphere dynamics.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Global well-posednes s of the three-dimensional viscous primitive equations of l arge scale ocean and atmosphere dynamics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.585297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation aa8f728b-f567-42f7-a265-987d8f01221c · outbound

This paper cites The mathematical theories of diﬀusion: nonlinear and fract ional diﬀusion.

On the local well-posedness of fractionally dissipated primitive equations with transport noise The mathematical theories of diﬀusion: nonlinear and fract ional diﬀusion

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.574638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f4df5b70-98bd-4167-9aa2-bd4e4139c932 · outbound

This paper cites Generalized surface quasi- geostrophic equations with singular velocities.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Generalized surface quasi- geostrophic equations with singular velocities

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.563996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 174e32f4-a0d6-4ef3-b021-80e381a4c613 · outbound

This paper cites Stable si ngularity formation for the inviscid primitive equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Stable si ngularity formation for the inviscid primitive equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.553128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5d756056-6185-4515-b92a-727ff8c93bb9 · outbound

This paper cites Unique ergodicity for fractionally dissipated, stochasti cally forced 2D Euler equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Unique ergodicity for fractionally dissipated, stochasti cally forced 2D Euler equations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.542049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 75028be9-1efc-4623-b084-419befc6495d · outbound

This paper cites Lon g time dynamics of forced critical SQG.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Lon g time dynamics of forced critical SQG

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.529780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d3afc0f6-ba9a-4336-8bcf-10dcbfa6ccbb · outbound

This paper cites Nonlinear maximum pri nciples for dissipative linear nonlocal operators and appl ica- tions.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Nonlinear maximum pri nciples for dissipative linear nonlocal operators and appl ica- tions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.518448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ceeef4c7-3bb6-437e-8720-cec78f62cf91 · outbound

This paper cites Solutio n properties of a 3D stochastic Euler ﬂuid equation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Solutio n properties of a 3D stochastic Euler ﬂuid equation

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.506703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6531a1e2-621b-4316-abb9-66e2399be62d · outbound

This paper cites A class of global l arge solutions to the magnetohydrodynamic equations with fractional dissipation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise A class of global l arge solutions to the magnetohydrodynamic equations with fractional dissipation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.495090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c4db776a-ccfc-4587-a6f7-0d8d81f371e0 · outbound

This paper cites Local martingale and pathwise solutions for an abstract ﬂuids model.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Local martingale and pathwise solutions for an abstract ﬂuids model

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.483835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b1fde1b1-e532-4c92-9994-b134a1b9fb45 · outbound

This paper cites Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphe re with multiplicative white noise.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphe re with multiplicative white noise

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.472575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0fa335d8-7d62-4861-882e-158337e8787a · outbound

This paper cites Second ord er perturbation theory of two-scale systems in ﬂuid dynamic s.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Second ord er perturbation theory of two-scale systems in ﬂuid dynamic s

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.460317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ffe2e6dd-044f-4eb0-8297-48c69b6ed164 · outbound

This paper cites Measure theory, volume 143.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Measure theory, volume 143

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.448614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 00aea36a-b140-4019-bb6b-76c16b14df48 · outbound

This paper cites Random perturbation of PDEs and ﬂuid dynamic models: ´Ecole d’´ et´ e de Probabilit´ es de Saint-Flour XL–2010, volume 2015.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Random perturbation of PDEs and ﬂuid dynamic models: ´Ecole d’´ et´ e de Probabilit´ es de Saint-Flour XL–2010, volume 2015

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.435164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8690445c-d8a9-42cb-a526-278679357c3d · outbound

This paper cites Delayed blow-up by transport noise.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Delayed blow-up by transport noise

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.421579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2da2fbca-fb06-43af-b23c-90caa1346f62 · outbound

This paper cites Martingale and st ationary solutions for stochastic Navier-Stokes equation s.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Martingale and st ationary solutions for stochastic Navier-Stokes equation s

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.409032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 63c948ec-e75d-40a9-bde8-305fce464ddb · outbound

This paper cites High mode transport nois e improves vorticity blow-up control in 3D Navier–Stokes equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise High mode transport nois e improves vorticity blow-up control in 3D Navier–Stokes equations

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.397335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e5051f43-a991-404f-acb8-1ff8dc5147d3 · outbound

This paper cites From additi ve to transport noise in 2d ﬂuid dynamics.

On the local well-posedness of fractionally dissipated primitive equations with transport noise From additi ve to transport noise in 2d ﬂuid dynamics

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.385178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d9b09f42-ade0-4d13-864b-7d1894db602e · outbound

This paper cites On the eﬀect of rotation on the life-span of analytic solutions to the 3D inviscid primitive equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise On the eﬀect of rotation on the life-span of analytic solutions to the 3D inviscid primitive equations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.373689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 40ea86f8-f401-420e-ad9f-41969b9e4282 · outbound

This paper cites Ill-posedness of the hydrostatic Euler and singular Vlasov equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Ill-posedness of the hydrostatic Euler and singular Vlasov equations

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.361784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9ba9933e-18f8-4a3c-b226-93eab0f130bf · outbound

This paper cites Springer Science & Business Media, 2007.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Springer Science & Business Media, 2007

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.350849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 62ecc1bb-68bb-4635-8a15-37b27c4b53c2 · outbound

This paper cites Local martingale solutions a nd pathwise uniqueness for the three-dimensional stochast ic inviscid primitive equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Local martingale solutions a nd pathwise uniqueness for the three-dimensional stochast ic inviscid primitive equations

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.340093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0246128c-414f-4628-af86-23be30e58173 · outbound

This paper cites Pathwise Solutions for Stochastic Hydrostatic Euler Equations under the Local Rayleigh Condition.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Pathwise Solutions for Stochastic Hydrostatic Euler Equations under the Local Rayleigh Condition

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T19:45:35.836499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c51f8858-73c2-447e-b376-378c114c01c0 · outbound

This paper cites Regularization by noise for the inviscid primitive equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Regularization by noise for the inviscid primitive equations

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:45:35.980544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e54bc4fe-8579-4349-9df7-5620722a9b82 · outbound

This paper cites Finite-tim e blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Finite-tim e blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.329471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 19267351-f8d3-4e86-9973-94f6fa16a0f5 · outbound

This paper cites Existence of a local smooth solution in pro bability to the stochastic Euler equations in R3.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Existence of a local smooth solution in pro bability to the stochastic Euler equations in R3

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.317583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c50f6773-575d-45f4-ac5f-88cbdacd5a4f · outbound

This paper cites Global well-posedness for the critical 2D dissipative q uasi- geostrophic equation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Global well-posedness for the critical 2D dissipative q uasi- geostrophic equation

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.305614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ddbc6d5a-f989-4ed2-8032-a07bd8a4e807 · outbound

This paper cites Existence of a solution ‘in the larg e’ for the 3D large-scale ocean dynamics equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Existence of a solution ‘in the larg e’ for the 3D large-scale ocean dynamics equations

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.294338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ffd19ef5-fd46-4a12-9c01-f844aa21180d · outbound

This paper cites Small-scale structure of a scalar ﬁ eld convected by turbulence.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Small-scale structure of a scalar ﬁ eld convected by turbulence

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.282212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 535381c3-41d2-4cc3-8d1d-7d740980ee6c · outbound

This paper cites Anomalous scaling of a randomly adv ected passive scalar.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Anomalous scaling of a randomly adv ected passive scalar

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.270376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f44e063e-e073-4f98-bdad-3070e9d2c18a · outbound

This paper cites Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.259100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0a073b68-72a9-4f81-bc45-f14b7e0875d9 · outbound

This paper cites W eak convergence of st ochastic integrals and diﬀerential equations II: Inﬁnite d imen- sional case.

On the local well-posedness of fractionally dissipated primitive equations with transport noise W eak convergence of st ochastic integrals and diﬀerential equations II: Inﬁnite d imen- sional case

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.247865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fec58f27-dab0-4ec9-ac4d-16132bf6250e · outbound

This paper cites The Yamada-W atanabe-Engelbert theore m for general stochastic equations and inequalities.

On the local well-posedness of fractionally dissipated primitive equations with transport noise The Yamada-W atanabe-Engelbert theore m for general stochastic equations and inequalities

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.237229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 61374855-607b-4db9-b1db-8b47354b6cb8 · outbound

This paper cites W ell-posedness for a stochast ic 2D Euler equation with transport noise.

On the local well-posedness of fractionally dissipated primitive equations with transport noise W ell-posedness for a stochast ic 2D Euler equation with transport noise

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.225635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 12cadb32-313d-484b-ad39-25e41a647103 · outbound

This paper cites On Kato–Ponce and fractional Leibniz.

On the local well-posedness of fractionally dissipated primitive equations with transport noise On Kato–Ponce and fractional Leibniz

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.214368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1f30e5cf-867b-47f7-88a3-8a7d409c39e4 · outbound

This paper cites The primitive equations as t he small aspect ratio limit of the Navier–Stokes equations: Rigorous justiﬁcation of the hydrostatic approximation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise The primitive equations as t he small aspect ratio limit of the Navier–Stokes equations: Rigorous justiﬁcation of the hydrostatic approximation

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.203143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 32757586-7a26-4ca9-a90b-3b149a74f93d · outbound

This paper cites Enhanced dissipation for stochastic Navier –Stokes equations with transport noise.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Enhanced dissipation for stochastic Navier –Stokes equations with transport noise

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.191806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2a7589ea-783b-449f-8e6f-855cd8f03af6 · outbound

This paper cites On equations o f stochastic ﬂuid mechanics.

On the local well-posedness of fractionally dissipated primitive equations with transport noise On equations o f stochastic ﬂuid mechanics

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.179690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ea47c28e-0fc4-4437-93a9-2746a0427ce3 · outbound

This paper cites Stochas tic Navier–Stokes equations for turbulent ﬂows.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Stochas tic Navier–Stokes equations for turbulent ﬂows

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.168923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 254c5d4f-51ca-4c88-9a54-f2e50e80e8ec · outbound

This paper cites Ill-posedness of the hydrostatic Eul er and Navier–Stokes equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Ill-posedness of the hydrostatic Eul er and Navier–Stokes equations

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.156783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b4a706a2-e604-4d6f-92fe-2d278571a01f · outbound

This paper cites Compact sets in the space Lp(0, T ; B).

On the local well-posedness of fractionally dissipated primitive equations with transport noise Compact sets in the space Lp(0, T ; B)

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.145800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 989c5db1-a61f-4a68-a9bd-70c02fac34cd · outbound

This paper cites Sobolev, Besov and Nikolskii fractiona l spaces: imbeddings and comparisons for vector valued spac es on an interval.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Sobolev, Besov and Nikolskii fractiona l spaces: imbeddings and comparisons for vector valued spac es on an interval

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.134415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d56cd8a7-ee4b-4b56-9d76-fb259501faac · outbound

This paper cites A General Framework for Solving Singular SPDEs with Applications to Fluid Models Driven by Pseudo-differential Noise.

On the local well-posedness of fractionally dissipated primitive equations with transport noise A General Framework for Solving Singular SPDEs with Applications to Fluid Models Driven by Pseudo-differential Noise

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-10T19:45:35.911233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38b2de26-de81-430f-9d1e-819966d526d5 · outbound

This paper cites Pseudodiﬀerential operators ( PMS-34).

On the local well-posedness of fractionally dissipated primitive equations with transport noise Pseudodiﬀerential operators ( PMS-34)

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.122181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 142de47a-eb9c-48ba-b976-4112c0b046e2 · outbound

This paper cites Blowup of solutions of the hydrostatic E uler equations.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Blowup of solutions of the hydrostatic E uler equations

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.109303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d54de4af-0e83-4e28-b605-ba78d1de6d92 · outbound

This paper cites The 2D magnetohydrodynamic equations with partial or fractional dissipation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise The 2D magnetohydrodynamic equations with partial or fractional dissipation

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.095637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1790b2a6-6c18-4715-b8cc-ceb153e9407c · outbound

This paper cites W ell-posedness and invisci d limits of the Boussinesq equations with fractional Laplac ian dissipation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise W ell-posedness and invisci d limits of the Boussinesq equations with fractional Laplac ian dissipation

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.080616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ef0819a8-afb4-4f3f-98ab-f357c3721e55 · outbound

This paper cites Global well- posedness for a class of 2D Boussinesq systems with fraction al dissipation.

On the local well-posedness of fractionally dissipated primitive equations with transport noise Global well- posedness for a class of 2D Boussinesq systems with fraction al dissipation

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:45:36.067191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation aee32662-dbf1-4719-b9b2-a8b9244590f6 · inbound

Closed Estimates of Leray Projected Transport Noise and Strong Solutions of the Stochastic Euler Equations cites this paper.

Closed Estimates of Leray Projected Transport Noise and Strong Solutions of the Stochastic Euler Equations On the local well-posedness of fractionally dissipated primitive equations with transport noise

Reference 50

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T21:19:03.618106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.