Abstract: |
We consider singular solutions for equations of porous medium type $u_t=\Delta u^m$ ($m>0$). Under some restriction on the range of $m$ and some smallness assumption on the velocity of the singular point, we prove that there exists a solution with a moving singularity for the equations. This talk is based on a joint work with Professor Marek Fila (Comenius University) and
Professor Eiji Yanagida (Tokyo Institute of Technology). |
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