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 ◽

Author(s):

Qin Duan

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Navier Stokes Equations

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Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum

Annals of PDE ◽

10.1007/s40818-019-0064-5 ◽

2019 ◽

Vol 5 (1) ◽

Author(s):

Jing Li ◽

Zhouping Xin

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Navier Stokes Equations ◽

Time Asymptotic Behavior

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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 ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Inhomogeneous Fluid ◽

Inflow Boundary Condition

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Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21382 ◽

2011 ◽

Vol 65 (4) ◽

pp. 549-585 ◽

Author(s):

Xiangdi Huang ◽

Jing Li ◽

Zhouping Xin

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Navier Stokes Equations

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Global Well-posedness of Classical Solutions with Large Initial Data to the Two-dimensional Isentropic Compressible Navier-Stokes Equations

Journal of Partial Differential Equations ◽

10.4208/jpde.v27.n2.5 ◽

2014 ◽

Vol 27 (2) ◽

pp. 143-157 ◽

Author(s):

Zhang Peixin

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Two Dimensional ◽

Large Initial Data ◽

Navier Stokes Equations

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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):

Stokes Equations ◽

Function Spaces ◽

Navier Stokes ◽

Well Posedness ◽

Critical Function ◽

Navier Stokes Equations ◽

Space Problem ◽

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The optimal decay rates of classical solutions to the 3D compressible Navier‐Stokes equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201900113 ◽

2021 ◽

Author(s):

Fuyi Xu ◽

Meiling Chi ◽

Jiqiang Jiang ◽

Yujun Cui

Keyword(s):

Stokes Equations ◽

Decay Rates ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Optimal Decay Rates ◽

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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 ◽

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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 ◽

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 classical solutions to 1D full compressible Navier–Stokes equations with the Robin boundary condition on temperature

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.11.004 ◽

2019 ◽

Vol 47 ◽

pp. 306-323

Author(s):

Peixin Zhang ◽

Changjiang Zhu

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Robin Boundary Condition ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions ◽

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