Seminar 8.11.2018: Marek Fila

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Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 8.11.2018 at 14:00 Lecture room M-223

Marek Fila (KAMŠ FMFI UK):
Solutions with moving singularities for equations of porous medium type

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.