Structural Stability and Regularity of Entropy Solutions to Hyperbolic Systems of Conservation Laws

Alberto Bressan, Philippe G. Lefloch

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Abstract

The paper is concerned with the qualitative structure of entropy solutions to a strictly hyperbolic, genuinely nonlinear system of conservation laws. We first give an accurate description of the local and global wave-front structure of a BV solution, generated by a front tracking algorithm. We then consider a sequence of exact or approximate solutions uν, converging to a solution u in L1. The convergence of the wave-fronts of uν to the corresponding fronts of u is studied, proving a structural stability result in a neighborhood of each point in the t-x plane.

Original languageEnglish (US)
Pages (from-to)43-84
Number of pages42
JournalIndiana University Mathematics Journal
Volume48
Issue number1
Publication statusPublished - Mar 1 1999

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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