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On a quadratic functional for scalar conservation laws

TitleOn a quadratic functional for scalar conservation laws
Publication TypeJournal Article
Year of Publication2014
AuthorsBianchini, S, Modena, S
JournalJournal of Hyperbolic Differential Equations
Volume11
Issue2
Pagination355-435
Abstract

We prove a quadratic interaction estimate for approximate solutions to scalar conservation laws obtained by the wavefront tracking approximation or the Glimm scheme. This quadratic estimate has been used in the literature to prove the convergence rate of the Glimm scheme.

URLhttp://arxiv.org/abs/1311.2929
DOI10.1142/S0219891614500118

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