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

Download Full-text

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

Download Full-text

Global strong solutions to the incompressible Navier–Stokes equations with density-dependent viscosity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.06.066 ◽

2016 ◽

Vol 444 (1) ◽

pp. 690-699 ◽

Author(s):

Haibo Yu ◽

Peixin Zhang

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Strong Solutions ◽

Dependent Viscosity

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

On local strong solutions to the three-dimensional nonhomogeneous Navier–Stokes equations with density-dependent viscosity and vacuum

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.09.001 ◽

2019 ◽

Vol 46 ◽

pp. 58-81

Author(s):

Boqiang Lü ◽

Sisi Song

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Local Strong Solutions ◽

Dependent Viscosity

Download Full-text

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

Download Full-text

Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity

Communications in Partial Differential Equations ◽

10.1080/03605302.2010.516785 ◽

2011 ◽

Vol 36 (4) ◽

pp. 602-634 ◽

Author(s):

Quansen Jiu ◽

Yi Wang ◽

Zhouping Xin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

Download Full-text