Global existence of classical solutions to two-dimensional Navier-Stokes equations with Cauchy data containing vacuum

Zhen Luo

doi:10.1002/mma.2896

Global existence of classical solutions to two-dimensional Navier-Stokes equations with Cauchy data containing vacuum

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2896 ◽

2013 ◽

Vol 37 (9) ◽

pp. 1333-1352 ◽

Cited By ~ 8

Author(s):

Zhen Luo

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Cauchy Data ◽

Navier Stokes ◽

Classical Solutions ◽

Two Dimensional ◽

Navier Stokes Equations

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Global existence of classical solutions for two-dimensional isentropic compressible Navier–Stokes equations with small initial mass

Advances in Difference Equations ◽

10.1186/s13662-020-02675-0 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Wei Li ◽

Zhaoyang Shang ◽

Fuquan Tang

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Initial Mass ◽

Navier Stokes ◽

Classical Solutions ◽

Two Dimensional ◽

Navier Stokes Equations

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Global existence of classical solutions for isentropic compressible Navier–Stokes equations with small initial density

Journal of Differential Equations ◽

10.1016/j.jde.2015.08.007 ◽

2015 ◽

Vol 259 (11) ◽

pp. 6830-6850 ◽

Cited By ~ 2

Author(s):

Jinju Qian ◽

Junning Zhao

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Initial Density ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations

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Global Well-posedness of Classical Solutions with Large Initial Data to the Two-dimensional Isentropic Compressible Navier-Stokes Equations

Journal of Partial Differential Equations ◽

10.4208/jpde.v27.n2.5 ◽

2014 ◽

Vol 27 (2) ◽

pp. 143-157 ◽

Cited By ~ 1

Author(s):

Zhang Peixin

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Two Dimensional ◽

Large Initial Data ◽

Navier Stokes Equations

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Global existence of almost energy solution to the two-dimensional chemotaxis-Navier-Stokes equations with partial diffusion

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019141 ◽

2019 ◽

Vol 39 (6) ◽

pp. 3413-3441

Author(s):

Laiqing Meng ◽

◽

Jia Yuan ◽

Xiaoxin Zheng

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Energy Solution ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations

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On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier–Stokes equations with vacuum

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2014.02.001 ◽

2014 ◽

Vol 102 (4) ◽

pp. 640-671 ◽

Cited By ~ 46

Author(s):

Jing Li ◽

Zhilei Liang

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Two Dimensional ◽

Navier Stokes Equations ◽

The Cauchy Problem

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On the global existence of classical solutions for compressible Navier-Stokes equations with vacuum

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.1085 ◽

2015 ◽

Vol 36 (2) ◽

pp. 1085-1103 ◽

Cited By ~ 1

Author(s):

Junning Zhao ◽

Jianwen Zhang ◽

Peixin Zhang

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations

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Initial boundary value problems for two-dimensional isentropic compressible Navier-Stokes equations with rotating effect terms

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125430 ◽

2021 ◽

pp. 125430

Author(s):

Tuowei Chen ◽

Yongqian Zhang

Keyword(s):

Boundary Value Problems ◽

Stokes Equations ◽

Boundary Value ◽

Initial Boundary ◽

Navier Stokes ◽

Two Dimensional ◽

Initial Boundary Value Problems ◽

Navier Stokes Equations ◽

Initial Boundary Value

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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 ◽

Optimal Decay

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Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier–Stokes Equations

Communications in Mathematical Physics ◽

10.1007/s00220-019-03580-8 ◽

2019 ◽

Vol 376 (1) ◽

pp. 353-384 ◽

Cited By ~ 1

Author(s):

Lin-An Li ◽

Dehua Wang ◽

Yi Wang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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Global large solutions to the two-dimensional compressible Navier–Stokes equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01501-1 ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Xiaoping Zhai ◽

Zhi-Min Chen

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Large Solutions

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