Singularity formation for the compressible Euler equations with general pressure law

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:438

Article

Zheng, Hualin^1,2 

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

[2] Georgia Inst Technol, Sch Math, 686 Cherry St, Atlanta, GA 30332 USA

关键词: Conservation laws;    Compressible Euler equations;    General pressure law;    Singularity formation;    Large data;   

DOI  :  10.1016/j.jmaa.2016.02.001

来源: Elsevier

【 摘 要 】

In this paper, the singularity formation of classical solutions for the compressible Euler equations with general pressure law is considered. The gradient blow-up of classical solutions is shown without any smallness assumption by delicate analysis of decoupled Riccati type equations. The proof also relies on a new estimate for the upper bound of the density. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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