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 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 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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Global classical solution to the cauchy problem of the 3-D compressible Navier-Stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(16)30078-9 ◽

2016 ◽

Vol 36 (5) ◽

pp. 1419-1432 ◽

Author(s):

Yulin YE

Keyword(s):

Cauchy Problem ◽

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Global Classical Solution ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Dependent Viscosity

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Global existence of strong solutions of the Navier–Stokes equations for isentropic compressible fluids with density-dependent viscosity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.09.025 ◽

2009 ◽

Vol 349 (2) ◽

pp. 503-515 ◽

Author(s):

Huanyao Wen ◽

Lei Yao

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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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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Local well-posedness to the cauchy problem of the 3-D compressible navier-stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60055-2 ◽

2014 ◽

Vol 34 (3) ◽

pp. 851-871 ◽

Author(s):

Yulin YE ◽

Changsheng DOU ◽

Quansen JIU

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Dependent Viscosity

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A remark on the Cauchy problem of 1D compressible Navier-Stokes equations with density-dependent viscosity coefficients

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-011-0118-2 ◽

2011 ◽

Vol 30 (1) ◽

pp. 193-204 ◽

Author(s):

Jin-tao Wei ◽

Lin He ◽

Zhen-hua Guo

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Viscosity Coefficients ◽

The Cauchy Problem ◽

Dependent Viscosity

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On global weak solutions to the Cauchy problem for the Navier–Stokes equations with largeL3-initial data

Nonlinear Analysis ◽

10.1016/j.na.2016.01.018 ◽

2017 ◽

Vol 154 ◽

pp. 269-296 ◽

Author(s):

G. Seregin ◽

V. Šverák

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

The Cauchy Problem

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Non-existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-018-1328-z ◽

2018 ◽

Vol 232 (2) ◽

pp. 557-590 ◽

Author(s):

Hai-Liang Li ◽

Yuexun Wang ◽

Zhouping Xin

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Finite Energy ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

The Cauchy Problem

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Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30783-5 ◽

2018 ◽

Vol 38 (3) ◽

pp. 778-790

Author(s):

Jianlin ZHANG ◽

Yuming QIN

Keyword(s):

Cauchy Problem ◽

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Spherically Symmetric ◽

Navier Stokes Equations ◽

The Cauchy Problem

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