[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica
magnani at dm.unipi.it
magnani at dm.unipi.it
Fri Jan 21 09:42:11 CET 2011
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/
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