Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow | Paper Citation Record

Observation e4c4edbb-648f-4606-b715-b9f891719270 · outbound

This paper cites Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics.SIAM Journal on Mathematical Analysis, 33(4):847– 859, 2001.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics.SIAM Journal on Mathematical Analysis, 33(4):847– 859, 2001

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:24.305101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acbc47e6-a5e1-4c57-aaf6-eca371e3ca32 · outbound

This paper cites Geostrophic adjustment.Reviews of Geophysics, 10(2):485–528, 1972.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Geostrophic adjustment.Reviews of Geophysics, 10(2):485–528, 1972

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:24.384070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 828f57d3-9e40-489d-a5f7-b2c2a61fa803 · outbound

This paper cites Homogeneous hydrostatic flows with convex velocity profiles.Nonlinearity, 12(3):495, 1999.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Homogeneous hydrostatic flows with convex velocity profiles.Nonlinearity, 12(3):495, 1999

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:24.447773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ba3923d-d20c-4969-80aa-30ac1c9e7007 · outbound

This paper cites Remarks on the derivation of the hydrostatic Euler equations.Bulletin des Sciences Mathematiques, 127(7):585–595, 2003.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Remarks on the derivation of the hydrostatic Euler equations.Bulletin des Sciences Mathematiques, 127(7):585–595, 2003

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:24.562159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57a712f6-539f-4e37-89c2-ac8d2b73b59c · outbound

This paper cites The Soundproof Model of an Acoustic–internal Waves System with Low Stratification.Journal of Mathematical Fluid Mechanics, 24(4):95, November 2022.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow The Soundproof Model of an Acoustic–internal Waves System with Low Stratification.Journal of Mathematical Fluid Mechanics, 24(4):95, November 2022

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:24.666840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bea9a5ad-8c4f-4613-9b74-80187a669f7c · outbound

This paper cites Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics.Communications in Mathematical Physics, 337(2):473–482, 2015.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics.Communications in Mathematical Physics, 337(2):473–482, 2015

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:24.854670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e3e88c7-1253-4a0d-894b-255d90e6f186 · outbound

This paper cites Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics.Annals of Mathematics, 166(1):245–267, July.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics.Annals of Mathematics, 166(1):245–267, July

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:24.983774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69d95eb5-e477-4339-a06b-7a735ce54e43 · outbound

This paper cites Three-Scale Singular Limits of Evolutionary PDEs.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Three-Scale Singular Limits of Evolutionary PDEs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.102047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2b1aacb-28a3-4cba-87f2-33c2ea41ec60 · outbound

This paper cites Stable singularity formation for the inviscid primitive equations.Annales de l’Institut Henri Poincar´ e C, 41(2):317–356, 2023.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Stable singularity formation for the inviscid primitive equations.Annales de l’Institut Henri Poincar´ e C, 41(2):317–356, 2023

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.151187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90084d5d-03f8-42a1-8543-746993e3d765 · outbound

This paper cites Embid and Andrew J.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Embid and Andrew J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.236553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8c20c91-bb03-4265-b17c-247da637c6cc · outbound

This paper cites Embid and Andrew J.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Embid and Andrew J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.289203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae12ff65-9c0c-44b7-9f6e-c00c6ff5ad88 · outbound

This paper cites Existence of a global weak solution to Compressible Primitive Equations.Comptes Rendus Mathematique, 350(7-8):379–382, April 2012.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Existence of a global weak solution to Compressible Primitive Equations.Comptes Rendus Mathematique, 350(7-8):379–382, April 2012

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.346396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30064dad-fc7d-4118-8f19-1204a390fa2e · outbound

This paper cites Compressible primitive equations: Formal derivation and stability of weak solutions.Nonlinearity, 24(1):79–96, 2011.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Compressible primitive equations: Formal derivation and stability of weak solutions.Nonlinearity, 24(1):79–96, 2011

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.415060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2854af9-d91e-4b4d-b774-888012719d3d · outbound

This paper cites Feireisl, Anton ´ ın Novotn´ y, and H.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Feireisl, Anton ´ ın Novotn´ y, and H

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.498265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35409e21-98f8-4d97-8fca-c94cc8109b11 · outbound

This paper cites Springer International Publishing, Cham, 2017.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Springer International Publishing, Cham, 2017

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.651996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d563077b-5369-48fe-81dc-a47793b83382 · outbound

This paper cites Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations.Nonlinearity, 33(12):6502, 2020.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations.Nonlinearity, 33(12):6502, 2020

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.772401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e05f51c9-c78e-4f49-beba-80ffbf9ba42a · outbound

This paper cites Gallagher.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Gallagher

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:25.906111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21a500c9-aea9-450f-bdf3-e366fb4d1e86 · outbound

This paper cites On the Hydrostatic Approximation of Compressible Anisotropic Navier–Stokes Equations–Rigorous Justification.Journal of Mathematical Fluid Mechanics, 24(3):86, July 2022.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow On the Hydrostatic Approximation of Compressible Anisotropic Navier–Stokes Equations–Rigorous Justification.Journal of Mathematical Fluid Mechanics, 24(3):86, July 2022

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.024933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5070ed5-983c-484e-8848-e8661184fc22 · outbound

This paper cites Adjustment under gravity in a rotating channel.Journal of Fluid Mechanics, 77(3):603– 621, 1976.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Adjustment under gravity in a rotating channel.Journal of Fluid Mechanics, 77(3):603– 621, 1976

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.077142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d4aebd8-2d2c-44ce-9c17-ae1aa0a88cf4 · outbound

This paper cites Elsevier, 2016.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Elsevier, 2016

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.163241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 812f3028-5dff-4920-aa2f-dc100f7f926e · outbound

This paper cites On the derivation of homogeneous hydrostatic equations.ESAIM: Mathematical Modelling and Numerical Analysis, 33(5):965–970, 1999.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow On the derivation of homogeneous hydrostatic equations.ESAIM: Mathematical Modelling and Numerical Analysis, 33(5):965–970, 1999

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.263775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83ab85bf-2e56-4c77-8853-e624ca88b8b9 · outbound

This paper cites Ill-posedness of the hydrostatic Euler and singular Vlasov equations.Archive for Rational Mechanics and Analysis, 221(3):1317–1344, 2016.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Ill-posedness of the hydrostatic Euler and singular Vlasov equations.Archive for Rational Mechanics and Analysis, 221(3):1317–1344, 2016

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.379145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4be219f4-b78d-4e03-a752-821e3bc9fa64 · outbound

This paper cites Energetics of gravitational adjustment for mesoscale chimneys.Journal of Physical Oceanography, 23(2):346–371, 1993.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Energetics of gravitational adjustment for mesoscale chimneys.Journal of Physical Oceanography, 23(2):346–371, 1993

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.463186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9adda2c4-c2a0-445d-80e8-f0524a5991c1 · outbound

This paper cites The Lagrangian approach to the compressible primitive equations.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow The Lagrangian approach to the compressible primitive equations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.560116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c76276a-47f9-43bd-82ab-4c32ff91b283 · outbound

This paper cites Global strong well-posedness of the three dimensional primitive equations inL p-spaces.Archive for Rational Mechanics and Analysis, 221(3):1077–1115, 2016.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Global strong well-posedness of the three dimensional primitive equations inL p-spaces.Archive for Rational Mechanics and Analysis, 221(3):1077–1115, 2016

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.624272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b4824f7-68eb-4925-bedc-32f1846e11c4 · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.701646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a494f72-a9ab-41bd-900d-07b5bf11265c · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.749817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 475327e8-aa5b-414a-8d8d-d2e1fbaf8ef2 · outbound

This paper cites An introduction to dynamic meteorology.American Journal of Physics, 41(5):752–754, 1973.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow An introduction to dynamic meteorology.American Journal of Physics, 41(5):752–754, 1973

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.816529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1310d3d1-2e0a-40e9-80c7-43caa1610c50 · outbound

This paper cites On the profile of singularity formation for the incompressible hydrostatic boussinesq system.Nonlinearity, 39(4):045015, 2026.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow On the profile of singularity formation for the incompressible hydrostatic boussinesq system.Nonlinearity, 39(4):045015, 2026

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.879897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75a87bba-722b-4f48-88b6-9c04afb04891 · outbound

This paper cites Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation.Journal of Differential Equations, 286:557–577, 2021.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation.Journal of Differential Equations, 286:557–577, 2021

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:26.957515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b29c15e-a1c2-4119-8e69-d067ac1caf88 · outbound

This paper cites On the Cauchy Problems for the System of Fundamental Equations Describing the Movement of Compressible Viscous Fluid.Kodai Math.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow On the Cauchy Problems for the System of Fundamental Equations Describing the Movement of Compressible Viscous Fluid.Kodai Math

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.030128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4911a93-f981-4dc4-98fb-f7fc984303a8 · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.168929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10beb35d-c735-4ad9-a4a7-6d9bb1f6db49 · outbound

This paper cites Compressible and incompressible fluids.Communications on Pure and Applied Mathematics, 35(5):629–651, September 1982.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Compressible and incompressible fluids.Communications on Pure and Applied Mathematics, 35(5):629–651, September 1982

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.254969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d0cba1b-3184-4a7b-847a-6ae00bb0abf3 · outbound

This paper cites Knio, and Piotr K.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Knio, and Piotr K

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.355447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 977c125c-2b8e-4163-898e-761135216be3 · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.480471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b761b4ab-1409-40f7-863d-078a25f9c636 · outbound

This paper cites Existence of a solution ‘in the large’ for the 3D large-scale ocean dynamics equations.Comptes Rendus Mathematique, 343(4):283–286, 2006.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Existence of a solution ‘in the large’ for the 3D large-scale ocean dynamics equations.Comptes Rendus Mathematique, 343(4):283–286, 2006

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.594409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70ff33f0-9ec0-456a-8bc5-0f967c29f647 · outbound

This paper cites On the regularity of the primitive equations of the ocean.Non- linearity, 20(12):2739, 2007.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow On the regularity of the primitive equations of the ocean.Non- linearity, 20(12):2739, 2007

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.688849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54067e3f-f2d6-4a17-bccc-110daab2858a · outbound

This paper cites Time-dependent fully nonlinear geostrophic adjustment.Journal of Physical Oceanography, 27(8):1614–1634, 1997.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Time-dependent fully nonlinear geostrophic adjustment.Journal of Physical Oceanography, 27(8):1614–1634, 1997

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:27.835016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c5d5390-106a-4c51-84ca-df0cc92a33af · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.057370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e843110-fe2d-4084-9423-989130015ff6 · outbound

This paper cites The primitive equations approximation of the anisotropic horizontally viscous 3D Navier–Stokes equations.Journal of Differential Equations, 306:492–524, 2022.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow The primitive equations approximation of the anisotropic horizontally viscous 3D Navier–Stokes equations.Journal of Differential Equations, 306:492–524, 2022

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.191391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 584199fb-48f7-4160-b45a-88118f726d6e · outbound

This paper cites Oxford University Press, January 1996.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Oxford University Press, January 1996

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.286771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02053598-1c83-4e12-b972-6eac3da50e09 · outbound

This paper cites Volume 2.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Volume 2

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.333629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28c9d7dd-bfeb-44d9-ab85-2bbc8226af1f · outbound

This paper cites Incompressible limit for a viscous compressible fluid.Journal des Mathematiques Pures et Appliquees, 77(6):585–627, 1998.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Incompressible limit for a viscous compressible fluid.Journal des Mathematiques Pures et Appliquees, 77(6):585–627, 1998

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.449800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68586a6f-aae4-4a36-a5b7-4a1b5475af41 · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.555858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db29c153-ae41-48a4-9c07-118cb805cb9f · outbound

This paper cites Zero Mach Number Limit of the Compressible Primitive Equations Part I: Well-prepared Initial Data.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Zero Mach Number Limit of the Compressible Primitive Equations Part I: Well-prepared Initial Data

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.670292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 174cca0f-0795-46da-affd-7e33c2aa968c · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.815148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae2b9934-e1c1-4694-b1e2-5740517cde6a · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:28.908427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 610ae829-9ce0-41cf-9764-a9d597b38d4e · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.007396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a6f64c3-783f-42c8-aa3c-0601b41f12b4 · outbound

This paper cites American Mathe- matical society, 2003.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow American Mathe- matical society, 2003

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.085567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f909e337-8659-4703-abe0-414ecbec7d74 · outbound

This paper cites Majda and Pedro Embid.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Majda and Pedro Embid

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.229049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4af70fa-f2fa-4f16-9abb-939162d162a9 · outbound

This paper cites Incompressible, inviscid limit of the compressible Navier–Stokes system.Annales de l’Institut Henri Poincare (C) Non Linear Analysis, 18(2):199–224, March 2001.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Incompressible, inviscid limit of the compressible Navier–Stokes system.Annales de l’Institut Henri Poincare (C) Non Linear Analysis, 18(2):199–224, March 2001

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.313929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98b513c3-3911-4f42-b444-ef0430b8dad5 · outbound

This paper cites On theH s theory of hydrostatic Euler equations.Archive for Rational Mechanics and Analysis, 204(1):231–271, 2012.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow On theH s theory of hydrostatic Euler equations.Archive for Rational Mechanics and Analysis, 204(1):231–271, 2012

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.437390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1145de57-a012-490f-8748-3fc14b1f8f5a · outbound

This paper cites How deep is the ocean?, April 17 2026.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow How deep is the ocean?, April 17 2026

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.552316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc8506c6-b524-4416-8893-c81d63ddb775 · outbound

This paper cites Energy equality for the compressible Primitive Equations with vacuum.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Energy equality for the compressible Primitive Equations with vacuum

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.769789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e7463ce-289e-48bb-ae0a-f00174d0a97c · outbound

This paper cites Lagrangian approach to geostrophic adjustment of frontal anomalies in a stratified fluid.Geophysical & Astrophysical Fluid Dynamics, 99(2):101–135, 2005.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Lagrangian approach to geostrophic adjustment of frontal anomalies in a stratified fluid.Geophysical & Astrophysical Fluid Dynamics, 99(2):101–135, 2005

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:29.917982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7861b32b-add7-4944-a93c-85ef71bea131 · outbound

This paper cites Rajagopal, M.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Rajagopal, M

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.080576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d51d3b92-668a-466d-999e-07d45f22bcdd · outbound

This paper cites Ill-posedness of the hydrostatic Euler and Navier–Stokes equations.Archive for Rational Mechanics and Analysis, 194(3):877–886, 2009.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Ill-posedness of the hydrostatic Euler and Navier–Stokes equations.Archive for Rational Mechanics and Analysis, 194(3):877–886, 2009

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.222674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b5bc477-e755-4d5c-9033-a960e7fa1a74 · outbound

This paper cites On the mutual adjustment of pressure and velocity distributions in certain simple current systems, II.Journal of Marine Research, 1(3):239–263, 1938.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow On the mutual adjustment of pressure and velocity distributions in certain simple current systems, II.Journal of Marine Research, 1(3):239–263, 1938

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.303447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e385a7b0-9f1b-4c4a-9c90-649dd5ded98d · outbound

This paper cites The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit.Communications in Mathematical Physics, 104(1):49–75, March 1986.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit.Communications in Mathematical Physics, 104(1):49–75, March 1986

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.346964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4302a44f-9a7b-48d6-b26a-a7bc75f1f2ac · outbound

This paper cites Fast Singular Limits of Hyperbolic PDEs.Journal of Differential Equations, 114(2):476– 512, December 1994.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Fast Singular Limits of Hyperbolic PDEs.Journal of Differential Equations, 114(2):476– 512, December 1994

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.570679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ede3547-fd8b-4c01-b302-91d23b95376a · outbound

This paper cites an unresolved cited work.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.625461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03fe8c98-d07c-4acc-9f57-26fea86486bb · outbound

This paper cites Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation.Journal of Differential Equations, 68(3):400–428, July 1987.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation.Journal of Differential Equations, 68(3):400–428, July 1987

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.702886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7025ce5-5076-436d-b234-a79e8d0e079c · outbound

This paper cites Moderately Fast Three-Scale Singular Limits.SIAM Journal on Mathe- matical Analysis, 52(4):3444–3462, January 2020.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Moderately Fast Three-Scale Singular Limits.SIAM Journal on Mathe- matical Analysis, 52(4):3444–3462, January 2020

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.798206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e77e0244-227a-44d7-9b04-2bab18b3ee1e · outbound

This paper cites Derivation of the inviscid compressible Primitive Equations.Applied Mathematics Letters, 139:108534, May 2023.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Derivation of the inviscid compressible Primitive Equations.Applied Mathematics Letters, 139:108534, May 2023

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.851795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d150299-dc3b-4258-9d9d-88d8c8a5510f · outbound

This paper cites The incompressible limit and the initial layer of the compressible Euler equation.Journal of Mathematics of Kyoto University, 26(2):323–331, 1986.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow The incompressible limit and the initial layer of the compressible Euler equation.Journal of Mathematics of Kyoto University, 26(2):323–331, 1986

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:30.911748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0553759-e7c7-44f0-8e4b-aef9b3aa6ef8 · outbound

This paper cites Committee on Extension to the Standard Atmosphere.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Committee on Extension to the Standard Atmosphere

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:31.001861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30165204-ecb8-45a7-8d8b-aa10adeb009b · outbound

This paper cites Great lakes, April 18 2026.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Great lakes, April 18 2026

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:31.074989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efbed893-429d-412c-b394-4891a567a946 · outbound

This paper cites Blowup of solutions of the hydrostatic Euler equations.Proceedings of the American Mathematical Society, 143(3):1119–1125, 2015.

Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow Blowup of solutions of the hydrostatic Euler equations.Proceedings of the American Mathematical Society, 143(3):1119–1125, 2015

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-01T07:23:31.205132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Coverage vector

Reference resolution

Outbound references

Pith citing papers