Global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with stress free boundary

Dongfen Bian; Boling Guo; Jingjun Zhang

doi:10.1063/1.4908283

Global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with stress free boundary

Dongfen Bian
, Boling Guo
, Jingjun Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Chinese University of Hong Kong
IAPCM
Jiaxing University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we are concerned with the global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with large initial data in the case that the viscosity coefficients μ, λ are both constants and the heat conductivity coefficient k(θ) ~ const(1 + θ^q), q ≥ 1. We show that the three dimensional full compressible Navier-Stokes equations away from symmetry center with the free boundary condition have a unique global strong solution.

Original language	English
Article number	023509
Journal	Journal of Mathematical Physics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1063/1.4908283
Publication status	Published - 23 Feb 2015

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abstract = "In this paper, we are concerned with the global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with large initial data in the case that the viscosity coefficients μ, λ are both constants and the heat conductivity coefficient k(θ) \textasciitilde{} const(1 + θq), q ≥ 1. We show that the three dimensional full compressible Navier-Stokes equations away from symmetry center with the free boundary condition have a unique global strong solution.",

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AB - In this paper, we are concerned with the global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with large initial data in the case that the viscosity coefficients μ, λ are both constants and the heat conductivity coefficient k(θ) ~ const(1 + θq), q ≥ 1. We show that the three dimensional full compressible Navier-Stokes equations away from symmetry center with the free boundary condition have a unique global strong solution.

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Global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with stress free boundary

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