Journal article
An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations
Journal of mathematical analysis and applications, Vol.467(2), pp.1174-1193
11/15/2018
DOI: 10.1016/j.jmaa.2018.07.064
Abstract
This paper investigates the regularity of a semi-hyperbolic patch problem arising from the Riemann problem for the 2-D isentropic Euler equations. We show that the solution is uniformly C1,16 up to the sonic curve and the sonic curve is C1,16, which improve the C1-regularity of Song et al. [20]. We introduce a novel set of change variables which allow us to establish higher regularity results based on the ideas of characteristic decomposition and the bootstrap method.
Details
- Title: Subtitle
- An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations
- Creators
- Yanbo Hu - Hangzhou Normal UniversityTong Li - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.467(2), pp.1174-1193
- Publisher
- Elsevier Inc
- DOI
- 10.1016/j.jmaa.2018.07.064
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Grant note
- DOI: 10.13039/501100004731, name: Zhejiang Provincial Natural Science Foundation, award: LY17A010019; DOI: 10.13039/501100001809, name: National Science Foundation of China, award: 11301128, 11571088; DOI: 10.13039/501100004543, name: China Scholarship Council, award: 201708330155
- Language
- English
- Date published
- 11/15/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984241147702771
Metrics
7 Record Views