On Weak Completeness of the Set of Entropy Solutions to a Scalar Conservation Law

On Weak Completeness of the Set of Entropy Solutions to a Scalar Conservation Law

We prove that weak limits of entropy solutions to a one-dimensional scalar conservation law with only a continuous flux function are entropy solutions as well.

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Veröffentlicht in:SIAM journal on mathematical analysis 2009-01, Vol.41 (1), p.26-36
1. Verfasser: Panov, Evgeniy
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Entropy
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Beschreibung
Zusammenfassung:We prove that weak limits of entropy solutions to a one-dimensional scalar conservation law with only a continuous flux function are entropy solutions as well.
ISSN:0036-1410
1095-7154
DOI:10.1137/080724587