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Paper Citation Record · LEDGER

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells

As of 22 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2509.06632.

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pith.paper-citation-record.v1
2509.06632 v1

Coverage vector

measured 48 of 48 reference resolution

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measured 48 of 48 standing notices

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Reference resolution

48 of 48 outbound references displayed

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External citation measurements

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Outbound references

Observation ed3a7741-44e0-4816-861e-86a0bb3a6f2c · outbound

This paper cites Planetary Dynamos.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Planetary Dynamos

Reference 1

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Observation 14047d39-315d-4e56-b9ca-2bf705f79f26 · outbound

This paper cites Rapidly Rotating Magnetohydrodynamics and the Geodynamo.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Rapidly Rotating Magnetohydrodynamics and the Geodynamo

Reference 2

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Observation a7f52965-635c-4d67-a352-b3e777287a8f · outbound

This paper cites Solar Dynamo Theory.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Solar Dynamo Theory

Reference 3

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Observation d6771e12-0181-4904-826f-f560ef2aac52 · outbound

This paper cites Planetary Magnetic Fields and Fluid Dynamos.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Planetary Magnetic Fields and Fluid Dynamos

Reference 4

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no resolver link, observed 2026-08-15T16:18:17.611619Z

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Observation d276ec6e-4d48-4a9e-91a0-7cb809fd56fd · outbound

This paper cites Dynamos in the Inner Solar System.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Dynamos in the Inner Solar System

Reference 5

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 01c51001-8d05-46f0-9b5a-6466aca95b2d · outbound

This paper cites Finite-amplitude convection in rotating spherical fluid shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Finite-amplitude convection in rotating spherical fluid shells

Reference 6

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Observation 6660293b-00a7-4bff-94b2-ea963c4c4f6a · outbound

This paper cites Patterns of convection in rotating spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Patterns of convection in rotating spherical shells

Reference 7

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Observation b09fd8a9-1d21-46ff-b61e-a19fbb31599d · outbound

This paper cites Zonal flow driven by strongly supercritical convection in rotating spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Zonal flow driven by strongly supercritical convection in rotating spherical shells

Reference 8

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Observation ed8d2fb9-a846-46d9-a318-d1880807e6f6 · outbound

This paper cites Turbulent convection in liquid metal with and without rotation.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Turbulent convection in liquid metal with and without rotation

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c1cb2d1d-f4ba-4139-b1c5-2b239e104b77 · outbound

This paper cites Scaling behaviour of rotating convection in a spherical shell with different Prandtl numbers.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Scaling behaviour of rotating convection in a spherical shell with different Prandtl numbers

Reference 10

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Observation 5fa4684a-b0e8-4bb7-b436-b071aff582c2 · outbound

This paper cites Dynamos driven by convection in rotating spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Dynamos driven by convection in rotating spherical shells

Reference 11

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fdd4a727-7021-4595-926e-639b19d5f3a7 · outbound

This paper cites List-three-coloring $ P_t $-free graphs with no induced 1-subdivision of $ K_{1,s} $.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells List-three-coloring $ P_t $-free graphs with no induced 1-subdivision of $ K_{1,s} $

Reference 12

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Observation 08ee7013-f257-42e3-ae45-7337ca538468 · outbound

This paper cites Double-diffusive convection in a rotating cylindrical annulus with conical caps.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Double-diffusive convection in a rotating cylindrical annulus with conical caps

Reference 13

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d1398e8b-3a0d-4c62-b8d4-48e79893ad44 · outbound

This paper cites On the thermal instability of a rotating-fluid sphere containing heat sources.Philos.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells On the thermal instability of a rotating-fluid sphere containing heat sources.Philos

Reference 14

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation be6080ce-b9b5-401b-83a2-bacaa555a055 · outbound

This paper cites Thermal instabilities in rapidly rotating systems.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Thermal instabilities in rapidly rotating systems

Reference 15

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Observation 724d98eb-26b1-4f58-8d68-fb8f66c4d8c6 · outbound

This paper cites Hydrodynamic and Hydromagnetic Stability; Clarendon: Oxford, UK, 1961.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Hydrodynamic and Hydromagnetic Stability; Clarendon: Oxford, UK, 1961

Reference 16

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Observation df5c0e28-28f6-494d-9524-87d9fb366c2e · outbound

This paper cites On the Finite amplitude thermal instability of a rapidly rotating fluid sphere.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells On the Finite amplitude thermal instability of a rapidly rotating fluid sphere

Reference 17

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f391ab65-29ff-4c08-aa95-5781a5c44ef1 · outbound

This paper cites The onset of thermal convection in a rapidly rotating sphere.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells The onset of thermal convection in a rapidly rotating sphere

Reference 18

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 48e32fe0-205a-4d6b-9990-3459c0618adb · outbound

This paper cites The onset of thermal convection in rotating spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells The onset of thermal convection in rotating spherical shells

Reference 19

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Observation 76f32a24-0ec9-4ea4-befe-1479c25010a9 · outbound

This paper cites On coupling between the Poincaré equation and the heat equation.J.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells On coupling between the Poincaré equation and the heat equation.J

Reference 20

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4910cf29-77f6-4490-9785-7afc18cfdecb · outbound

This paper cites Thermal convection in rotating spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Thermal convection in rotating spherical shells

Reference 21

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 35a192ed-8679-4bd7-8d15-921dc9a7ba27 · outbound

This paper cites Inertial convection in rotating fluid spheres.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Inertial convection in rotating fluid spheres

Reference 22

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 37fc60e3-58c6-45fb-bab9-1f50e3a4cf42 · outbound

This paper cites On inertial waves in a rotating fluid sphere.J.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells On inertial waves in a rotating fluid sphere.J

Reference 23

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verified exact
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 59add022-9463-44ff-8250-e56014c15911 · outbound

This paper cites A new asymptotic method for the analysis of convection in a rapidly rotating sphere.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells A new asymptotic method for the analysis of convection in a rapidly rotating sphere

Reference 24

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a95126a7-6814-482b-aa6b-415c7cabc732 · outbound

This paper cites Asymptotic solutions of convection in rapidly rotating non-slip spheres.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Asymptotic solutions of convection in rapidly rotating non-slip spheres

Reference 25

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 76d55f9b-6144-4466-a881-cbaed8de937b · outbound

This paper cites Equations governing convection in earth’s core and the geodynamo.Geophys.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Equations governing convection in earth’s core and the geodynamo.Geophys

Reference 26

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Observation 1c1c476d-96b0-48e6-aeab-5347722964df · outbound

This paper cites Puzzles in Planetary Dynamos: Implications for Planetary Interiors.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Puzzles in Planetary Dynamos: Implications for Planetary Interiors

Reference 27

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ed2ba220-4018-431b-9d09-68174bb56fdf · outbound

This paper cites Turbulence, Magnetism, and Shear in Stellar Interiors.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Turbulence, Magnetism, and Shear in Stellar Interiors

Reference 28

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Observation 40f26543-1f59-4e45-ba8f-4f8027a6fcd7 · outbound

This paper cites Onset of low Prandtl number thermal convection in thin spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Onset of low Prandtl number thermal convection in thin spherical shells

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c864c7fe-8bcb-4bfe-a17b-03e0450fb0fc · outbound

This paper cites The onset of thermo-compositional convection in rotating spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells The onset of thermo-compositional convection in rotating spherical shells

Reference 30

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:18:18.661534Z digest=sha256:ca0505e33970569a53718fd74d6ab164592a714981e7c806492b519496c0195f

Observation c3c1d4c9-086a-48f9-b781-6971928b1932 · outbound

This paper cites Onset of convection in rotating spherical shells: Variations with radius ratio.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Onset of convection in rotating spherical shells: Variations with radius ratio

Reference 31

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b124fe95-27aa-465c-8e32-b9118dca7dae · outbound

This paper cites Onset of thermal convection in a solid spherical shell with melting at either or both boundaries.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Onset of thermal convection in a solid spherical shell with melting at either or both boundaries

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 79076ff4-8423-4b95-b590-bbd37f6de8cf · outbound

This paper cites Parameter dependences of convection-driven dynamos in rotating spherical fluid shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Parameter dependences of convection-driven dynamos in rotating spherical fluid shells

Reference 33

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7cdfc6fb-2e3e-4601-9d53-0b8dabb6eb5b · outbound

This paper cites Varying the spherical shell geometry in rotating thermal convection.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Varying the spherical shell geometry in rotating thermal convection

Reference 34

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verified exact
doi, observed 2026-08-15T16:18:20.957032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 6b007ecc-ba1b-4946-a260-34c4378645bc · outbound

This paper cites Effects of Shell Thickness on Cross-Helicity Generation in Convection-Driven Spherical Dynamos.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Effects of Shell Thickness on Cross-Helicity Generation in Convection-Driven Spherical Dynamos

Reference 35

Resolution
verified exact
doi, observed 2026-08-15T16:18:20.834481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:18.844443Z digest=sha256:06721fba6de7f3503b041b571dcbf503bf8c175480cfa0b389626478cdf45a12

Observation f33e0008-b852-440c-8912-8d2de9069a4d · outbound

This paper cites Image transmission through a flexible multimode fiber by deep learning.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Image transmission through a flexible multimode fiber by deep learning

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-15T16:18:18.920643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:18:18.920643Z digest=sha256:1965730184a76916295aed21bfcce6f7af6893688dd8e00d9b542f490bdc0e33

Observation 8061a4cb-6fbb-4ed7-9349-f757b18d8ae1 · outbound

This paper cites Linear theory of compressible convection in rapidly rotating spherical shells, using the anelastic approximation.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Linear theory of compressible convection in rapidly rotating spherical shells, using the anelastic approximation

Reference 37

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T16:18:24.976179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a6c041fe-e642-41ba-8e87-0d47ebec68bb · outbound

This paper cites Convection in rotating spherical fluid shells with inhomogeneous heat flux at the outer boundary.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Convection in rotating spherical fluid shells with inhomogeneous heat flux at the outer boundary

Reference 38

Resolution
malformed identifier
doi_truncated, observed 2026-08-15T16:18:20.674897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:18.990305Z digest=sha256:86c7d72ed3485014487641f3c067cef794bae39f6cf17354d401e32557b01951

Observation 95453a56-fe71-46b4-a265-9512fa749aea · outbound

This paper cites Solenoidal force balances in numerical dynamos.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Solenoidal force balances in numerical dynamos

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T16:18:19.001119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:18:19.001119Z digest=sha256:d3c217c83f3b4573148f5f10f81e31ed78732164d91d7a5454cfa576921624d0

Observation 71d681b3-b282-4f22-8f64-bde517045a5d · outbound

This paper cites On the onset of low-Prandtl-number convection in rotating spherical shells: Non-slip boundary conditions.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells On the onset of low-Prandtl-number convection in rotating spherical shells: Non-slip boundary conditions

Reference 40

Resolution
verified exact
doi, observed 2026-08-15T16:18:20.522967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.017069Z digest=sha256:7d19ebea3e40e09b176371b1ea94142f3ab6596a46547ac62797bc473273b16a

Observation 083cfaac-c925-4e7a-9fdd-11877f127cef · outbound

This paper cites Convection in a rapidly rotating spherical shell at infinite Prandtl number: Steadily drifting rolls.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Convection in a rapidly rotating spherical shell at infinite Prandtl number: Steadily drifting rolls

Reference 41

Resolution
verified exact
doi, observed 2026-08-15T16:18:20.385572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.039146Z digest=sha256:296cb549ebe4bb226be2884e61c04e7e8c2c0bc672730f34aeaaa1aa4c856df0

Observation ded8e820-f037-4964-94a6-bef93acead43 · outbound

This paper cites The influence of Ekman boundary layers on rotating convection.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells The influence of Ekman boundary layers on rotating convection

Reference 42

Resolution
verified exact
doi, observed 2026-08-15T16:18:20.262879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.097065Z digest=sha256:d0c3a9a96b9d82150490d457d47911b0018966dec2a17c0a3c3a6e984b743634

Observation d6753a70-cee6-435c-9559-642333bf9b1c · outbound

This paper cites The ekman layer.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells The ekman layer

Reference 43

Resolution
verified exact
doi, observed 2026-08-15T16:18:20.102588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.192592Z digest=sha256:9655862d44416787368bab1a4ab357b33fb0d6505bab92cf5705946df7da01e6

Observation e5d1df71-bc02-4956-962a-8a54491ead18 · outbound

This paper cites Convection in rapidly rotating spherical fluid shells.Geophys.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Convection in rapidly rotating spherical fluid shells.Geophys

Reference 44

Resolution
verified exact
doi, observed 2026-08-15T16:18:19.893244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.218315Z digest=sha256:82d220b05eb31cd3d67c36920cfa640ae52a5eabf8dd32e8ef3021cbc2b9cb67

Observation 17f27c0b-d090-4bc2-b48a-08f9c007f2b8 · outbound

This paper cites Convection in rotating annulus: An asymptotic theory and numerical solutions.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Convection in rotating annulus: An asymptotic theory and numerical solutions

Reference 45

Resolution
verified exact
doi, observed 2026-08-15T16:18:19.790942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.234726Z digest=sha256:f4ff0eae87c18764cc3efb6c9a838c8204aa032d45283edfd0e4ae405110ff78

Observation 6b735f37-e1b9-4fe1-9ae9-19056b221b99 · outbound

This paper cites Influence of Boundary Conditions and Heating Modes on Convective Onset in Rotating Spherical Shells, [Data Collection], 2025.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Influence of Boundary Conditions and Heating Modes on Convective Onset in Rotating Spherical Shells, [Data Collection], 2025

Reference 46

Resolution
malformed identifier
doi_truncated, observed 2026-08-15T16:18:19.691734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.250342Z digest=sha256:30158a5b62dd5f0338baf319d93138a50a5c7765653cf299503330e6ec265888

Observation c7fdf01c-20d2-4dc8-b60f-a55eaa4196ae · outbound

This paper cites InPotential Theory in Gravity and Magnetic Applications; Cambridge University Press: Cambridge, UK, 1995; pp.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells InPotential Theory in Gravity and Magnetic Applications; Cambridge University Press: Cambridge, UK, 1995; pp

Reference 47

Resolution
verified exact
doi, observed 2026-08-15T16:18:19.564347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.313979Z digest=sha256:8ed5e0d7edd2e4bde0998ed1130a689c305be50cea44c9e3f0df775037d472dd

Observation 0911e9f9-7580-4719-8672-6837477035c8 · outbound

This paper cites Patterns of convection in spherical shells.

Influence of Boundary Conditions and Heating Modes on the Onset of Columnar Convection in Rotating Spherical Shells Patterns of convection in spherical shells

Reference 48

Resolution
verified exact
doi, observed 2026-08-15T16:18:19.487051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T16:18:19.379543Z digest=sha256:ece83f27fdbefa5fedd5ca2207a346998ca54fa52bd0e410640c947b46a635ec

Pith citing papers

No inbound Pith citation observations are available.