THE REGULARITY OF A DEGENERATE GOURSAT PROBLEM FOR THE 2-D ISOTHERMAL EULER EQUATIONS

Yanbo Hu; Tong Li

doi:10.3934/cpaa.2019149

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THE REGULARITY OF A DEGENERATE GOURSAT PROBLEM FOR THE 2-D ISOTHERMAL EULER EQUATIONS

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THE REGULARITY OF A DEGENERATE GOURSAT PROBLEM FOR THE 2-D ISOTHERMAL EULER EQUATIONS

Yanbo Hu and Tong Li

Communications on pure and applied analysis, Vol.18(6), pp.3317-3336

11/01/2019

DOI: 10.3934/cpaa.2019149

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Abstract

We study the regularity of solution and of sonic boundary to a degenerate Goursat problem originated from the two-dimensional Riemann problem of the compressible isothermal Euler equations. By using the ideas of characteristic decomposition and the bootstrap method, we show that the solution is uniformly C-1,C-1/6 up to the degenerate sonic boundary and that the sonic curve is C-1,C-1/6.

Mathematics

Physical Sciences

Mathematics, Applied

Science & Technology

Details

Title: Subtitle: THE REGULARITY OF A DEGENERATE GOURSAT PROBLEM FOR THE 2-D ISOTHERMAL EULER EQUATIONS
Creators: Yanbo Hu - Hangzhou Normal University
Tong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
Resource Type: Journal article
Publication Details: Communications on pure and applied analysis, Vol.18(6), pp.3317-3336
DOI: 10.3934/cpaa.2019149
ISSN: 1534-0392
eISSN: 1553-5258
Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS
Number of pages: 20
Grant note: LY17A010019; NSFC 11301128; 11571088 / NSF of Zhejiang Province 201708330155 / China Scholarship Council
Language: English
Date published: 11/01/2019
Academic Unit: Mathematics
Record Identifier: 9984241057002771

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