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

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

Year:    2014

Author:    Xuemei Deng, Peixin Zhang, Junning Zhao, Xuemei Deng, Junning Zhao

Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 2 : pp. 143–157

Abstract

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data under the assumption that the viscosity coefficient μ is large enough. Here we do not require that the initial data is small.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v27.n2.5

Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 2 : pp. 143–157

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Isentropic compressible Navier-Stokes equations

Author Details

Xuemei Deng

Peixin Zhang

Junning Zhao

Xuemei Deng

Junning Zhao

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