Global well-posedness of the half space problem of the Navier–Stokes equations in critical function spaces of limiting case

Tongkeun Chang; Bum Ja Jin

doi:10.1007/s11565-020-00345-3

Global well-posedness of the half space problem of the Navier–Stokes equations in critical function spaces of limiting case

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-020-00345-3 ◽

2020 ◽

Vol 66 (2) ◽

pp. 273-294

Author(s):

Tongkeun Chang ◽

Bum Ja Jin

Keyword(s):

Half Space ◽

Stokes Equations ◽

Function Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Critical Function ◽

Navier Stokes Equations ◽

Space Problem ◽

Limiting Case

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Global well-posedness of the Navier-Stokes equations of an inhomogeneous fluid in the half-space with inflow boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123567 ◽

2020 ◽

Vol 482 (2) ◽

pp. 123567

Author(s):

Tongkeun Chang ◽

Bum Ja Jin

Keyword(s):

Boundary Condition ◽

Half Space ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Inhomogeneous Fluid ◽

Inflow Boundary Condition

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Global well-posedness and ill-posedness for the Navier–Stokes equations with the Coriolis force in function spaces of Besov type

Journal of Functional Analysis ◽

10.1016/j.jfa.2014.05.022 ◽

2014 ◽

Vol 267 (5) ◽

pp. 1321-1337 ◽

Cited By ~ 28

Author(s):

Tsukasa Iwabuchi ◽

Ryo Takada

Keyword(s):

Coriolis Force ◽

Stokes Equations ◽

Function Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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Global well-posedness of classical solutions to the compressible Navier–Stokes equations in a half-space

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.024 ◽

2012 ◽

Vol 253 (1) ◽

pp. 167-202 ◽

Cited By ~ 7

Author(s):

Qin Duan

Keyword(s):

Half Space ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Navier Stokes Equations

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Global well-posedness of the incompressible Navier-Stokes equations in function spaces with variable exponents

Scientia Sinica Mathematica ◽

10.1360/n012017-00078 ◽

2018 ◽

Vol 48 (10) ◽

pp. 1427 ◽

Cited By ~ 1

Author(s):

Ru Shaolei

Keyword(s):

Stokes Equations ◽

Function Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Variable Exponents ◽

Navier Stokes Equations

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Global Well-Posedness for the Navier–Stokes Equations with the Coriolis Force in Function Spaces Characterized by Semigroups

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-020-00541-3 ◽

2020 ◽

Vol 23 (1) ◽

Author(s):

Hiroki Ohyama

Keyword(s):

Coriolis Force ◽

Stokes Equations ◽

Function Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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Well-posedness and large deviations for 2D stochastic constrained Navier-Stokes equations driven by Lévy noise in the Marcus canonical form

Journal of Differential Equations ◽

10.1016/j.jde.2021.08.035 ◽

2021 ◽

Vol 302 ◽

pp. 64-138

Author(s):

Utpal Manna ◽

Akash Ashirbad Panda

Keyword(s):

Large Deviations ◽

Canonical Form ◽

Stokes Equations ◽

Navier Stokes ◽

Lévy Noise ◽

Well Posedness ◽

Navier Stokes Equations ◽

Levy Noise

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Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-021-00133-w ◽

2021 ◽

Author(s):

Takayoshi Ogawa ◽

Senjo Shimizu

Keyword(s):

Free Boundary ◽

Heat Equation ◽

Boundary Problem ◽

Half Space ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

A Free Boundary Problem

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On the global well-posedness for the 3D axisymmetric incompressible Keller–Segel–Navier–Stokes equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01609-4 ◽

2021 ◽

Vol 72 (5) ◽

Author(s):

Qiang Hua ◽

Qian Zhang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations

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Global well-posedness of strong solutions to the two-dimensional barotropic compressible Navier–Stokes equations with vacuum

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0619-1 ◽

2016 ◽

Vol 67 (2) ◽

Cited By ~ 5

Author(s):

Li Fang ◽

Zhenhua Guo

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Well Posedness ◽

Two Dimensional ◽

Navier Stokes Equations

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The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-018-1266-9 ◽

2018 ◽

Vol 230 (3) ◽

pp. 1103-1129 ◽

Cited By ~ 7

Author(s):

Toan T. Nguyen ◽

Trinh T. Nguyen

Keyword(s):

Half Space ◽

Stokes Equations ◽

Inviscid Limit ◽

Navier Stokes ◽

Navier Stokes Equations

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