PDE seminar by Adrian M. Ruf
Speaker: Adrian M. Ruf (UiO)
Title: The Ostrovsky-Hunter equation with Dirichlet boundary conditions
Abstract: We will discuss the scalar conservation law with nonlocal source term that is the Ostrovsky-Hunter equation. This is a joint work with Nils Henrik Risebro and Johanna Ridder and the presentation will focus on three things: Correct formulation of Dirichlet boundary conditions, a version of Harten’s lemma proving a total variation bound on a bounded domain and convergence of a numerical scheme towards the entropy solution.