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

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• 作者：Zhilei Liang ; Shanqiu Wu
• 关键词：Classical solutions ; Full compressible Navier–Stokes ; Constant diffusion coefficients
• 刊名：Zeitschrift für angewandte Mathematik und Physik
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：68
• 期：1
• 全文大小：
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer International Publishing
• ISSN：1420-9039
• 卷排序：68

文摘

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 Calder\(\acute{o}\)n–Zygmund decomposition technique and allows that the viscosity and heat conductivity are both constant.