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 existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum

Nonlinearity ◽

10.1088/1361-6544/aab31f ◽

2018 ◽

Vol 31 (6) ◽

pp. 2617-2632 ◽

Author(s):

Boqiang Lü ◽

Xiaoding Shi ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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Large time asymptotic behavior of the compressible navier-stokes equations in partial space-periodic domains

Acta Mathematica Scientia ◽

10.1016/s0252-9602(16)30061-3 ◽

2016 ◽

Vol 36 (4) ◽

pp. 1167-1191

Author(s):

Zhengzi CAO ◽

Huicheng YIN ◽

Lin ZHANG ◽

Lu ZHU

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Periodic Domains ◽

Time Asymptotic Behavior

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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 and large-time behavior for the inhomogeneous Vlasov–Navier–Stokes equations

Nonlinearity ◽

10.1088/0951-7715/28/9/3309 ◽

2015 ◽

Vol 28 (9) ◽

pp. 3309-3336 ◽

Author(s):

Young-Pil Choi ◽

Bongsuk Kwon

Keyword(s):

Stokes Equations ◽

Large Time Behavior ◽

Navier Stokes ◽

Well Posedness ◽

Time Behavior ◽

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 and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains

Science China Mathematics ◽

10.1007/s11425-019-9521-4 ◽

2019 ◽

Author(s):

Kexin Li ◽

Boqiang Lü ◽

Yixuan Wang

Keyword(s):

Stokes Equations ◽

Unbounded Domains ◽

Large Time Behavior ◽

Navier Stokes ◽

Well Posedness ◽

Time Behavior ◽

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 ◽

Author(s):

Qin Duan

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Navier Stokes Equations

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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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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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