Bressan: Some remarks on multidimensional systems of conservation laws

Bressan, Alberto:
Some remarks on multidimensional systems of conservation laws
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 15 (2004), fasc. n.3-4, p. 225-233, (English)
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This note is concerned with the Cauchy problem for hyperbolic systems of conservation laws in several space dimensions. We first discuss an example of ill-posedness, for a special system having a radial symmetry property. Some conjectures are formulated, on the compactness of the set of flow maps generated by vector fields with bounded variation.

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Referenze Bibliografiche