Classical solution to 1D viscous polytropic perfect fluids with constant diffusion coefficients and vacuum

被引：4

作者：

Liang, Zhilei ^{[1
]}

Wu, Shanqiu ^{[2
]}

机构：

[1] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Peoples R China

[2] Sichuan Agr Univ, Inst Econ, Chengdu 611130, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2017年 / 68卷 / 01期

关键词：

Classical solutions; Full compressible Navier-Stokes; Constant diffusion coefficients; NAVIER-STOKES EQUATIONS; SPHERICALLY SYMMETRIC-SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; GLOBAL WEAK SOLUTIONS; CAUCHY-PROBLEM; BLOWUP CRITERION; EXISTENCE; MOTION;

D O I：

10.1007/s00033-017-0767-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the initial boundary value problem for one-dimensional (1D) viscous, compressible and heat conducting fluids. We establish the global existence and uniqueness of classical solutions, with large data and possible vacuum at initial time. Our approach is based on the Calderon-Zygmund decomposition technique and allows that the viscosity and heat conductivity are both constant.

引用

页数：20

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