[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica
magnani at dm.unipi.it
magnani at dm.unipi.it
Fri Jan 14 07:32:29 CET 2011
A regularity result for strictly hyperbolic, genuinely non-linear systems of conservation laws in one space dimension, I
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Speaker: Laura Caravenna
Seminari di Calcolo delle Variazioni e Analisi Geometrica
19 Jan 2011
Dipartimento di Matematica - Sala Seminari - ore 17:00
ABSTRACT: We discuss in two talks a regularity issue for entropy
solutions of a class of systems of scalar conservation laws in one
space dimension.
This first talk will be devoted to introducing the setting and the main
assumptions (e.g. strict hyperbolicity and characteristic families, the
decomposition into wave measures). A few fundamental results on
hyperbolic systems of conservation laws in one space dimension will be
recalled, as the Laxs solution to the Riemann problem and Bressans
existence and uniqueness of a Lipschitz semigroup of solutions for
small BV initial data. Examples will be given in the case of a single
conservation law.
You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20110119/
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