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BV like structure of bounded solutions to conservation laws

by Prof. Elio Marconi

This is my image.
This is my image.
This is my image.

11:00-12:00 Thursday, 10 April 2025
Auditorium, Rectorate



Abstract

Entropy solutions of scalar conservation laws, even if merely bounded, share several structural properties with functions of bounded variation. As a first step in this direction for entropy solutions to 2x2 hyperbolic systems of conservation laws, we discuss a Liouville type theorem for isentropic solutions. The argument is based on a kinetic formulation of the system and some Lagrangian tools adapted from the scalar case. This is a joint work with F. Ancona and L. Talamini.