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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Analysis Seminar
Kevin Dembski
Duke University
Singularity Formation in the Incompressible Porous Medium Equation without Boundary Mass
Abstract:
In this talk, I will discuss recent work on the problem of singularity formation in the incompressible porous medium (IPM) equation. We construct Lipschitz continuous solutions of the IPM equation which vanish on the boundary of the domain and blow-up in finite time. At the blow-up point, the flow is hyperbolic with points approaching the boundary from the interior and escaping tangent to the boundary.
Host: Frederico Pasqualotto
November 18, 2025
11:00 AM
Zoom (Meeting ID: 967 1910 7110)
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