Local and Global Existence of Strong Solutions for the Compressible Navier-Stokes Equations Near Equilibria via the Maximal Regularity

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids ◽

10.1007/978-3-319-13344-7_50 ◽

2018 ◽

pp. 1905-1946

Author(s):

Matthias Kotschote

Keyword(s):

Global Existence ◽

Maximal Regularity ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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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 existence of weak and strong solutions to Cucker–Smale–Navier–Stokes equations inR2

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.07.013 ◽

2016 ◽

Vol 27 ◽

pp. 158-182 ◽

Author(s):

Young-Pil Choi ◽

Jihoon Lee

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Weak And Strong Solutions

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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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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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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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The Global Existence of Strong Solutions to the 3D Compressible Isothermal Navier-Stokes Equations

Acta Mathematica Scientia ◽

10.1007/s10473-022-0113-0 ◽

2021 ◽

Author(s):

Haibo Yu

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations

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Global existence and optimal decay rate for the strong solutions in H2 to the compressible Navier–Stokes equations

Applied Mathematics Letters ◽

10.1016/j.aml.2011.04.028 ◽

2011 ◽

Vol 24 (11) ◽

pp. 1778-1784 ◽

Author(s):

Yanjin Wang ◽

Zhong Tan

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Decay ◽

Optimal Decay Rate

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Global existence of strong solutions for $2$-dimensional Navier-Stokes equations on exterior domains with growing data at infinity

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2014.13.1613 ◽

2014 ◽

Vol 13 (4) ◽

pp. 1613-1627

Author(s):

Michele Campiti ◽

Giovanni P. Galdi ◽

Matthias Hieber

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Exterior Domains ◽

Navier Stokes Equations

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Global existence and optimal decay rate for the strong solutions inH2to the 3-D compressible Navier–Stokes equations without heat conductivity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.05.001 ◽

2012 ◽

Vol 394 (2) ◽

pp. 571-580 ◽

Author(s):

Zhong Tan ◽

Huaqiao Wang

Keyword(s):

Global Existence ◽

Heat Conductivity ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Decay ◽

Optimal Decay Rate

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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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