Title
Multiple Highly Oscillatory Shock Waves
Abstract
This paper is devoted to the rigorous theory of nonlinear geometric optics for multiple shocks to a general N x N conservation law in one space variable. For the problem of multiple weak shocks perturbed by small amplitude, high-frequency oscillatory waves, we obtain that the leading profiles of oscillatory shocks are solution to an integro-differential system with free boundaries, the leading terms of shock fronts don't oscillate, and oscillations only appear in the leading terms shock speeds.
Year
DOI
Venue
2008
10.3233/ASY-2008-0864
ASYMPTOTIC ANALYSIS
Keywords
Field
DocType
nonlinear geometric optics, conservation laws, shock waves
Oscillation,Nonlinear system,Mathematical analysis,Geometrical optics,Shock wave,Classical mechanics,Amplitude,Conservation law,Physics
Journal
Volume
Issue
ISSN
57
3-4
0921-7134
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Yahong Peng1295.43
Yaguang Wang2296.70