Abstract | ||
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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 Peng | 1 | 29 | 5.43 |
Yaguang Wang | 2 | 29 | 6.70 |