Higher integrability for porous medium type systems

Abstract: In this talk we report on recent developments concerning the higher integrability of the spatial gradient to porous medium type systems of the form $$ \partial_ t u- \Delta(|u|^{m-1}u) = \rm{div}\, F. $$

mathematical physicsanalysis of PDEsclassical analysis and ODEsdifferential geometryfunctional analysismetric geometrynumerical analysisoptimization and control

Audience: researchers in the topic

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php