Journal article
SONIC-SUPERSONIC SOLUTIONS FOR THE TWO-DIMENSIONAL PSEUDO-STEADY FULL EULER EQUATIONS
Kinetic & related models, Vol.12(6), pp.1197-1228
12/01/2019
DOI: 10.3934/krm.2019046
Abstract
This paper is focused on the existence of classical sonic-supersonic solutions near sonic curves for the two-dimensional pseudo-steady full Euler equations in gas dynamics. By introducing a novel set of change variables and using the idea of characteristic decomposition, the Euler system is transformed into a new system which displays a transparent singularity-regularity structure. With a choice of weighted metric space, we establish the local existence of smooth solutions for the new system by the fixed-point method. Finally, we obtain a local classical solution for the pseudo-steady full Euler equations by converting the solution from the partial hodograph variables to the original variables.
Details
- Title: Subtitle
- SONIC-SUPERSONIC SOLUTIONS FOR THE TWO-DIMENSIONAL PSEUDO-STEADY FULL EULER EQUATIONS
- Creators
- Yanbo Hu - Hangzhou Normal UniversityTong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Kinetic & related models, Vol.12(6), pp.1197-1228
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- DOI
- 10.3934/krm.2019046
- ISSN
- 1937-5093
- eISSN
- 1937-5077
- Number of pages
- 32
- Grant note
- Department of Mathematics in University of Iowa
- Language
- English
- Date published
- 12/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984241154602771
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