On Wednesday 18th of October at 4pm in the MathLab, Nick Lindemulder (Nijmegen) will give an Amsterdam Dynamics seminar.
The talk will take place in the Maryam seminar room (9A-46) and everyone is welcome to join for drinks at Bar Boele after the talk.
Title: Sobolev regularity for singular-degenerate porous medium type equation
Abstract: Motivated by mathematical models for biofilm growth, we consider Cauchy problems for quasilinear parabolic equations where the diffusion coefficient has a degeneracy of porous medium type as well as a singularity. We discuss results on the well-posedness and Sobolev regularity of solutions. The proofs rely on m-accretive operator theory and averaging lemmas. This is based on joint work with Stefanie Sonner.