PDE Real Analysis Seminar

Seminar information archive ~04/13Next seminarFuture seminars 04/14~

Date, time & place Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.)

2018/12/11

10:30-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Marek Fila (Comenius University in Bratislava)
Solutions with moving singularities for equations of porous medium type (English)
[ Abstract ]
We construct positive solutions of equations of porous medium type with a singularity which moves in time along a prescribed curve and keeps the spatial profile of singular stationary solutions. It turns out that there appears a critical exponent for the existence of such solutions. This is a joint work with Jin Takahashi and Eiji Yanagida.