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

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2016.10.009 ◽

2017 ◽

Vol 108 (1) ◽

pp. 41-62 ◽

Author(s):

Boqiang Lü ◽

Zhonghai Xu ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Strong Solutions ◽

Magnetohydrodynamic Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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Global existence and exponential decay of strong solutions to the cauchy problem of 3D density-dependent Navier-Stokes equations with vacuum

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020163 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Yang Liu ◽

◽

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Exponential Decay ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem

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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 Existence and Large Time Asymptotic Behavior of Strong Solution to the Cauchy Problem of 2D Density-Dependent Boussinesq Equations with Vacuum

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2019.710159 ◽

2019 ◽

Vol 07 (10) ◽

pp. 2333-2351

Author(s):

Min Liu

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Strong Solution ◽

Boussinesq Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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Global Existence and Large Time Asymptotic Behavior of Strong Solution to the Cauchy Problem of 2D Density-Dependent Boussinesq Equations of Korteweg Type

Advances in Pure Mathematics ◽

10.4236/apm.2021.114022 ◽

2021 ◽

Vol 11 (04) ◽

pp. 346-368

Author(s):

Qi Zhang

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Strong Solution ◽

Boussinesq Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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Global strong solutions of the Cauchy problem for 1D compressible Navier-Stokes equations with density-dependent viscosity

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-016-0631-4 ◽

2017 ◽

Vol 33 (1) ◽

pp. 25-34

Author(s):

Sheng-quan Liu ◽

Jun-ning Zhao

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Global Strong Solutions ◽

Dependent Viscosity

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Asymptotic behavior of exact solutions for the Cauchy problem to the 3D cylindrically symmetric Navier-Stokes equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4324 ◽

2017 ◽

Vol 40 (12) ◽

pp. 4538-4547 ◽

Author(s):

Yuming Qin ◽

Jianlin Zhang

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Cylindrically Symmetric ◽

The Cauchy Problem

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Global existence and large time behavior of strong solutions for 3D nonhomogeneous heat conducting Navier–Stokes equations

Journal of Mathematical Physics ◽

10.1063/5.0012871 ◽

2020 ◽

Vol 61 (11) ◽

pp. 111503

Author(s):

Xin Zhong

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Large Time Behavior ◽

Navier Stokes ◽

Heat Conducting ◽

Time Behavior ◽

Navier Stokes Equations ◽

Nonhomogeneous Heat

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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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On Almost Global Existence for the Cauchy Problem for Compressible Navier-Stokes Equations in the Lp-Framework

Journal of Applied Analysis ◽

10.1515/jaa.2001.61 ◽

2001 ◽

Vol 7 (1) ◽

Author(s):

P. B. Mucha

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Cauchy Problem

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