scholarly journals Diffraction of a shock into an expansion wavefront for the transonic self-similar nonlinear wave system in two space dimensions

2016 ◽  
Vol 260 (1) ◽  
pp. 445-477 ◽  
Author(s):  
Juhi Jang ◽  
Eun Heui Kim
Keyword(s):  
Nonlinear Wave ◽  
Wave System ◽  
Two Space Dimensions ◽  
Self Similar ◽  
Nonlinear Wave System

TRANSONIC REGULAR REFLECTION FOR THE NONLINEAR WAVE SYSTEM

2006 ◽  
Vol 03 (03) ◽  
pp. 443-474 ◽  
Author(s):  
KATARINA JEGDIĆ ◽  
BARBARA LEE KEYFITZ ◽  
SUNČICA ČANIĆ
Keyword(s):  
Nonlinear Wave ◽  
Mixed Type ◽  
Wave System ◽  
Regular Reflection ◽  
Reflection Point ◽  
Existence Of A Solution ◽  
Reflected Shock ◽  
Self Similar ◽  
Subsonic Region ◽  
Nonlinear Wave System

We consider Riemann data for the nonlinear wave system which result in a regular reflection with a subsonic state behind the reflected shock. The problem in self-similar coordinates leads to a system of mixed type and a free boundary value problem for the reflected shock and the solution in the subsonic region. We show existence of a solution in a neighborhood of the reflection point.

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