The optimal decay rates of classical solutions to the 3D compressible Navier‐Stokes equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201900113 ◽

2021 ◽

Author(s):

Fuyi Xu ◽

Meiling Chi ◽

Jiqiang Jiang ◽

Yujun Cui

Keyword(s):

Stokes Equations ◽

Decay Rates ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Optimal Decay Rates ◽

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Optimal decay rates on compressible Navier–Stokes equations with degenerate viscosity and vacuum

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2019.01.014 ◽

2019 ◽

Vol 124 ◽

pp. 1-29

Author(s):

Guangyi Hong ◽

Changjiang Zhu

Keyword(s):

Stokes Equations ◽

Decay Rates ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Decay Rates ◽

Optimal Decay ◽

Degenerate Viscosity

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On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$

Mathematica Bohemica ◽

10.21136/mb.2001.134008 ◽

2001 ◽

Vol 126 (2) ◽

pp. 443-455 ◽

Author(s):

Tetsuro Miyakawa ◽

Maria Elena Schonbek

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Decay Rates ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Decay Rates ◽

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Optimal decay rates of isentropic compressible Navier-Stokes equations with discontinuous initial data

Journal of Differential Equations ◽

10.1016/j.jde.2020.06.021 ◽

2020 ◽

Vol 269 (10) ◽

pp. 8132-8172 ◽

Author(s):

Xianpeng Hu ◽

Guochun Wu

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Decay Rates ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Discontinuous Initial Data ◽

Optimal Decay Rates ◽

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Global classical solutions to 1D full compressible Navier–Stokes equations with the Robin boundary condition on temperature

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.11.004 ◽

2019 ◽

Vol 47 ◽

pp. 306-323

Author(s):

Peixin Zhang ◽

Changjiang Zhu

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Robin Boundary Condition ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions ◽

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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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Blow up of classical solutions to the isentropic compressible Navier–Stokes equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.03.005 ◽

2015 ◽

Vol 25 ◽

pp. 112-117 ◽

Author(s):

Ning-An Lai

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations

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Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/14m1191769 ◽

2021 ◽

Vol 53 (3) ◽

pp. 3265-3305

Author(s):

Yaobin Ou

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Froude Number ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

Low Froude Number

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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 well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21382 ◽

2011 ◽

Vol 65 (4) ◽

pp. 549-585 ◽

Author(s):

Xiangdi Huang ◽

Jing Li ◽

Zhouping Xin

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Navier Stokes Equations

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On global classical solutions to 1D compressible Navier‐Stokes equations with density‐dependent viscosity and vacuum

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6255 ◽

2020 ◽

Vol 43 (8) ◽

pp. 5127-5150

Author(s):

Boqiang Lü ◽

Yixuan Wang ◽

Yuhang Wu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Classical Solutions ◽

Dependent Viscosity

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