Paper Citation Record · LEDGER

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models

As of 20 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 2 inbound Pith citation observations for arXiv:2504.13753.

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pith.paper-citation-record.v1
2504.13753 v1

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measured 36 of 36 reference resolution

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Reference resolution

36 of 36 outbound references displayed

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External citation measurements

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Outbound references

Observation 1a716c2b-ca68-4e89-957f-8d603488b87b · outbound

This paper cites an unresolved cited work.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Unresolved cited work

Reference 1

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This paper cites Springer series in computational mathematics.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Springer series in computational mathematics

Reference 2

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Observation 43eb114f-ccd7-4f46-b162-c5e7bb7953ad · outbound

This paper cites Research report, Université de lorraine (April 2013).

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Research report, Université de lorraine (April 2013)

Reference 3

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This paper cites Nonlinear Anal.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Nonlinear Anal

Reference 4

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This paper cites Deep Sea Research Part II: Topical Studies in Oceanography160, 32–40 (2019) https://doi.org/10.1016/j.dsr2.2018.12.007.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Deep Sea Research Part II: Topical Studies in Oceanography160, 32–40 (2019) https://doi.org/10.1016/j.dsr2.2018.12.007

Reference 5

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Observation ebd2a8df-a552-499f-83f2-c3b4be94c50e · outbound

This paper cites Mathematics of Cli- mate and Weather Forecasting 5(1), 65–106 (2019) https://doi.org/10.1515/ mcwf-2019-0005.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Mathematics of Cli- mate and Weather Forecasting 5(1), 65–106 (2019) https://doi.org/10.1515/ mcwf-2019-0005

Reference 6

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Observation b54ff207-a40b-4698-b2b0-7521c856f68d · outbound

This paper cites part ii: A fully random navier-stokes-cloud model.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models part ii: A fully random navier-stokes-cloud model

Reference 7

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This paper cites SIAM Journal on Mathematical Analysis 50(2), 1720–1752 (2018) https://doi.org/10.1137/16m1099406.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models SIAM Journal on Mathematical Analysis 50(2), 1720–1752 (2018) https://doi.org/10.1137/16m1099406

Reference 8

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Observation 5cd9f2b0-e9ea-43f2-ae47-d36a116a06a7 · outbound

This paper cites Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields

Reference 9

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This paper cites SIAM Journal on Numerical Analysis 62(4), 1874–1900 (2024) https://doi.org/10.1137/23M1596296.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models SIAM Journal on Numerical Analysis 62(4), 1874–1900 (2024) https://doi.org/10.1137/23M1596296

Reference 10

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This paper cites Computers & Mathematics with Applications164, 116–130 (2024) https://doi.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Computers & Mathematics with Applications164, 116–130 (2024) https://doi

Reference 11

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This paper cites Mathemati- cal Models and Methods in Applied Sciences (2024) https://doi.org/10.1142/ 41 s0218202524500179.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Mathemati- cal Models and Methods in Applied Sciences (2024) https://doi.org/10.1142/ 41 s0218202524500179

Reference 12

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Observation 9eaf8101-1258-4a9b-a86b-12497904ff95 · outbound

This paper cites Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations

Reference 13

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Observation 39c0c14f-3509-46e2-ae0a-70e31a90e0c6 · outbound

This paper cites An- nales de l’institut Fourier 17(1), 295–323 (1967) https://doi.org/10.5802/aif.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models An- nales de l’institut Fourier 17(1), 295–323 (1967) https://doi.org/10.5802/aif

Reference 14

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This paper cites Foundations of Computational Mathematics 10(6), 615–646 (2010) https://doi.org/10.1007/s10208-010-9072-2.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Foundations of Computational Mathematics 10(6), 615–646 (2010) https://doi.org/10.1007/s10208-010-9072-2

Reference 15

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This paper cites Transactions of the American Mathematical Society348(2), 503–520 (1996).

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Transactions of the American Mathematical Society348(2), 503–520 (1996)

Reference 16

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This paper cites Birkhäuser Advanced Texts Basler Lehrbücher.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Birkhäuser Advanced Texts Basler Lehrbücher

Reference 17

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This paper cites Numerische Mathematik 142(4), 863–915 (2019) https://doi.org/10.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Numerische Mathematik 142(4), 863–915 (2019) https://doi.org/10

Reference 18

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This paper cites Part I: Smooth domains.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Part I: Smooth domains

Reference 19

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This paper cites American Mathematical Society, Providence, RI (2024).

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models American Mathematical Society, Providence, RI (2024)

Reference 20

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This paper cites Springer series in computational mathematics.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Springer series in computational mathematics

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Unresolved cited work

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This paper cites Mathematics of Computation 88(315), 73–89 (2018) https://doi.org/10.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Mathematics of Computation 88(315), 73–89 (2018) https://doi.org/10

Reference 23

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This paper cites Classics in mathematics.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Classics in mathematics

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This paper cites 50(3), 1433–1455 (2012) https://doi.org/10.1137/100812574.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models 50(3), 1433–1455 (2012) https://doi.org/10.1137/100812574

Reference 25

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This paper cites In: General Theory of Partial Differential Equations and Microlocal Analysis (Trieste, 1995).

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models In: General Theory of Partial Differential Equations and Microlocal Analysis (Trieste, 1995)

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Unresolved cited work

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This paper cites SIAM Review56, 261–273 (2014).

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models SIAM Review56, 261–273 (2014)

Reference 28

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models ACM Trans

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Unresolved cited work

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Unresolved cited work

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models ANZIAM J

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This paper cites SIAM Journal on Numerical Analysis50(6), 3351–3374 (2012).

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models SIAM Journal on Numerical Analysis50(6), 3351–3374 (2012)

Reference 33

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Unresolved cited work

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This paper cites https://people.cs.kuleuven.be/⁄tildelowdirk.nuyens/qmc4pde/.

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models https://people.cs.kuleuven.be/⁄tildelowdirk.nuyens/qmc4pde/

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Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models Unresolved cited work

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Pith citing papers

Observation 71ed4186-321a-4e4f-8ebf-76418571a689 · inbound

Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation cites this paper.

Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models

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Neural Shape Operator Surrogates -- Expression Rate Bounds cites this paper.

Neural Shape Operator Surrogates -- Expression Rate Bounds Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models

Reference 8

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