Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and sticky particles - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Rivista di Matematica della Universita' degli studi di Parma Year : 2012

Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and sticky particles

Daniela Tonon
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Abstract

We show how it is possible to apply the SBV Regularity Theorem for entropy solutions of one-dimensional scalar conservation laws, proved by Ambrosio and De Lellis, to Convection Theory and sticky particles. In the multi-dimensional case we present a counterexample which prevent us from using the same approach.
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hal-00724831 , version 1 (22-08-2012)

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  • HAL Id : hal-00724831 , version 1

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Daniela Tonon. Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and sticky particles. Rivista di Matematica della Universita' degli studi di Parma, 2012, 3 (1), pp.163-175. ⟨hal-00724831⟩
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