Global well-posedness for the full compressible Navier-Stokes equations

2016/04/19 by Li, Jinlu, Zhai, Xiaoping, Yin, Zhaoyang
#35K65 #35Q35 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.05446

Abstract

In this paper, we mainly study the Cauchy problem for the full compressible Navier-Stokes equations in Sobolev spaces. We establish the global well-posedness of the equations with small initial data by using Friedrich's method and compactness arguments.

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