Pré-Publication, Document De Travail Année : 2025

Minimization of hyperbolic systems of conservation laws

Résumé

We consider the Cauchy problem for a generic hyperbolic system of conservation laws and assume it is provided by a standard Riemann semigroup of solutions, for summable initial data with small total variation. Then, we introduce an integral functional involving the solutions of the Cauchy problem and investigate when such a functional has a (nontrivial) minimum in case the initial data vary in suitable admissible classes of functions.

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Dates et versions

hal-04925943 , version 1 (03-02-2025)

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  • HAL Id : hal-04925943 , version 1

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Massimiliano D. Rosini, Andrea Corli, Michele Jr. Miranda, Vito Buffa. Minimization of hyperbolic systems of conservation laws. 2025. ⟨hal-04925943⟩
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