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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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

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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

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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 existence of strong solutions of Navier-Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60116-7 ◽

2012 ◽

Vol 32 (4) ◽

pp. 1467-1486 ◽

Author(s):

Yuan Hongjun ◽

Liu Hongzhi ◽

Qiao Jiezeng ◽

Li Fanpei

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Newtonian Potential ◽

Navier Stokes Equations ◽

One Dimensional

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Global existence of strong solutions of Navier–Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids

Nonlinear Analysis ◽

10.1016/j.na.2011.05.026 ◽

2011 ◽

Vol 74 (17) ◽

pp. 5876-5891 ◽

Author(s):

Hongzhi Liu ◽

Hongjun Yuan ◽

Jiezeng Qiao ◽

Fanpei Li

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Newtonian Potential ◽

Navier Stokes Equations ◽

One Dimensional

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Global existence of strong solutions of Navier–Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-012-0202-3 ◽

2012 ◽

Vol 63 (5) ◽

pp. 865-878 ◽

Author(s):

Hongzhi Liu ◽

Hongjun Yuan ◽

Jiezeng Qiao ◽

Fanpei Li

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Newtonian Potential ◽

Navier Stokes Equations ◽

One Dimensional

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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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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

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One dimensional compressible Navier-Stokes equations with density-dependent viscosity and free boundaries

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2008.7.373 ◽

2008 ◽

Vol 7 (2) ◽

pp. 373-381 ◽

Author(s):

Xulong Qin ◽

◽

Zheng-An Yao ◽

Hongxing Zhao ◽

◽

...

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Free Boundaries ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Dependent Viscosity

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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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