The porous medium equation on manifolds with conical singularities | Prof. Elmar Schrohe (Universität Hannover)

Startdatum: 25.06.2019 - 16:00
Enddatum: 25.06.2019 - 17:30
Adresse: MZH 6210
Organisator/Ansprechpartner: Prof. Thorsten Dickhaus, Prof. Christine Knipping, (0421) 218-63651, (0421) 218-63721
Preis: 0€

The porous medium equation is the quasilinear diffusion equation

u'(t)-∆(u^m(t))=f(u,t)  t>0
u(0) =u_0.

It describes - for example - the flow of a gas in a porous medium. 
Here u is the density of the gas, m is positive, and f is a forcing term. 
In the absence of exterior influence, f=0. For m=1 we obtain the usual heat

We study this equation on a manifold with conical singularities.
A few questions I would like to address in this talk: 
- Why study such an equation in a singular situation?
- Do solutions exist? What methods can one apply to find them?
- Does the solution exhibit special features that can be traced back to the singular geometry?

(Joint work with Nikolaos Roidos and Jörg Seiler)

Einladung von Prof. Pohl und Dr. Doll