Paper Info
Title
Sonic-Supersonic Solutions To A Mixed-Type Boundary Value Problem For The Two-Dimensional Full Euler Equations
Abstract
We are concerned with the sonic-supersonic structures extracted from the transonic flow problems in gas dynamics. A local classical supersonic solution for the two-dimensional steady full Euler equations is established in an angular region bounded by the sonic curve and the characteristic curve. In order to overcome the challenges caused by the coupling of nonlinearity and degeneracy at the corner point, we develop a new iteration pattern to show the convergence of the iterative sequence generated by the Euler equations in terms of a partial hodograph coordinate system. The pattern developed here will be useful for studying the degenerate mixed-type boundary value problems for other related nonlinear hyperbolic systems.
Year
DOI
Venue
2021
10.1137/20M134589X
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
DocType
Volume
full Euler equations, sonic curve, degenerate hyperbolic, classical solution, characteristic decomposition
Journal
53
Issue
ISSN
Citations 
2
0036-1410
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Yanbo Hu100.34
Jianjun Chen23912.52