Preprint 1996-042

The Semigroup Approach to Systems of Conservation Laws

Alberto Bressan

Abstract: This survey paper provides an account of recent developments concerning the uniqueness and continuous dependence of solutions to systems of conservation laws. Progress has been achieved by a new approach, based on the construction of a Lipschitz semigroup compatible with the standard solutions of Riemann problems. We shall try to give here an overview of the main ideas and techniques involved in this "semigroup approach", with the aid of several pictures.

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The Semigroup Approach to Systems of Conservation Laws
Alberto Bressan, <>
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<> December 5 1996.

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1996-12-05 17:39:45 UTC