PDE and applications: Existence and regularity for the diffusive shallow medium equation

  • Date: –11:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Matias Vestberg
  • Organiser: Matematiska institutionen
  • Contact person: Kaj Nyström
  • Seminarium

Abstract: We acquaint ourselves with a doubly nonlinear diffusion equation which is used to model the dynamics of shallow water and glaciers. We present the strategy for proving the existence of solutions to an associated Cauchy-Dirichlet problem, and take a look at some regularity results in the slow diffusion case.