Nonlocal regularization of conservation laws

Next Thuesday, May 3, 2022 we have a talk by Giuseppe Coclite, visitor scientist from Politecnico di Bari:

Event: Nonlocal regularization of conservation laws
Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
Speaker: Prof. Dr. Giuseppe Coclite
Affiliation: Politecnico di Bari (Italy)

Abstract. We present some recent results on the problem of approximating a scalar conservation law by a conservation law with nonlocal flux. As convolution kernel in the nonlocal flux, we consider an exponential-type approximation of the Dirac distribution. We prove that the (unique) weak solution of the nonlocal problem converges strongly in $C(L^1_{loc})$ to the entropy solution of the local conservation law.

This talk is based on joint works with J.-M. Coron, N. De Nitti, A. Keimer, and L. Pflug.

WHERE?

FAU Department Mathematik
Room 04.363