MENU

You are here

Quadratic Interaction Functional for General Systems of Conservation Laws

TitleQuadratic Interaction Functional for General Systems of Conservation Laws
Publication TypeJournal Article
Year of Publication2015
AuthorsBianchini, S, Modena, S
JournalCommunications in Mathematical Physics
Volume338
Pagination1075–1152
Abstract

For the Glimm scheme approximation to the solution of the system of conservation laws in one space dimension with initial data u 0 with small total variation, we prove a quadratic (w.r.t. Tot. Var. ( u 0)) interaction estimate, which has been used in the literature for stability and convergence results. No assumptions on the structure of the flux f are made (apart from smoothness), and this estimate is the natural extension of the Glimm type interaction estimate for genuinely nonlinear systems. More precisely, we obtain the following results: a new analysis of the interaction estimates of simple waves;

DOI10.1007/s00220-015-2372-2

Sign in