[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica

[magnani at dm.unipi.it]

A regularity result for strictly hyperbolic, genuinely non-linear    systems of conservation laws in one space dimension, II
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Speaker: Laura Caravenna
Seminari di Calcolo delle Variazioni e Analisi Geometrica
26 Jan 2011

   Dipartimento di Matematica - Sala Seminari - ore 17:00

   ABSTRACT: In this second talk, we show that the entropy solution to the
   Cauchy problem, for small BV initial data and in the case of genuinely
   non-linear characteristic fields, belongs to SBV (joint work with S.
   Bianchini). This regularity was obtained first by Ambrosio and De
   Lellis in the case of a single equation with uniformly convex flux.
   Some years later it has been extended to scalar balance laws by Robyr,
   and recently to genuinely nonlinear Temple systems of balance laws by
   Ancona-Nguyen. An extension in more space dimensions has moreover been
   given by Bianchini-De Lellis-Robyr in the context of the
   Hamilton-Jacobi equation with uniformly convex Hamiltonian.


You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20110126/