SITO NON PIU' AGGIORNATO - UNIVERSITÀ DI PAVIA

Dipartimento di Matematica ''F. Casorati''

HomeEvents › Lagrangian representation for conservation lawsIT|EN

Lagrangian representation for conservation laws

Prof. Stefano Bianchini (SISSA, Trieste)

Sala conferenze IMATI-CNR - Wednesday, October 19, 2016 h.15:00


Abstract. The use of characteristics to represent smooth solutions in quasilinear first order systems is textbook classic, and it is also well known that after the so called gradient catastrophe, this representation fails because the solution becomes discontinuous and there is no canonical way to continue the representation. For linear transport equations, instead, even if the solution is very weak (say a measure) and the vector field is only locally integrable, a representation in terms of superposition of characteristics is the base of important progresses regarding uniqueness and existence of a more regular flow.

In this talk I will show how the method of characteristic can be extended to scalar equations and hyperbolic systems of conservation laws, yielding a new representation of the solution, the Lagrangian representation. I will address in particular the following points:


Back to events page


Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602