Resonant nonlinear geometric optics for weak solutions of conservation laws

Steven Schochet*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

The O(ε) part of solutions obtained via Glimm′s scheme of strictly hyperbolic conservation laws with O(ε) periodic BV initial data is shown to tend as ε → 0 to the unique entropy solution of the modulation equations of weakly nonlinear geometric optics derived by Majda and Rosales.

Original languageEnglish
Pages (from-to)473-504
Number of pages32
JournalJournal of Differential Equations
Volume113
Issue number2
DOIs
StatePublished - 15 Oct 1994

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