Nonlinear Geometric Optics for Shock Waves Part II: System Case | Zendy

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Nonlinear Geometric Optics for Shock Waves Part II: System Case

Author(s) -

Yaguang Wang

Publication year - 1997

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/796

Subject(s) - shock wave , nonlinear system , geometrical optics , physics , optics , nonlinear optics , classical mechanics , mechanics , quantum mechanics

In this paper we investigate the nonlinear geometric optics of a stable shock wave perturbed by high frequency oscillations for quasilinear hyperbolic conservation laws in one space variable. We obtain the existence of the oscillatory shock wave and its leading profiles, which are solutions to a boundary value problem of integro . differential systems. Furthermore, the asymptotic properties of the oscillatory shock wave as well as the shock front are justified.

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