
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 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