Classical large solution for the viscous compressible fluids with initial vacuum in 1D

Boundary value problems

Zhilei Liang¹  Yunzhao Lu² 

[1] School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, P.R. China;School of International Trade and Economics, University of International Business and Economics, Beijing, P.R. China

关键词: compressible Navier-Stokes;    global classical solution;    vacuum;    Cauchy problem;   

DOI  :  10.1186/s13661-015-0367-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the Cauchy problem for a compressible viscous fluid in one-dimensional (1D) space. By means of the weighted initial density, we obtain the global-in-time existence of a unique classical solution with large initial data. The initial density can be compactly supported or decays to zero not too slowly at infinity.

【 授权许可】

CC BY