Carolin Gietz

Prof. Dr. Jan Pietschmann (Universität Chemnitz): On Fokker-Planck Equations with In- and Outflow of Mass

Tuesday, 12.03.2019 14:15 im Raum M5

Mathematik und Informatik

Motivated by modeling transport processes in the growth of neurons, we present results on (nonlinear) Fokker-Planck equations where the total mass is not conserved. This is either due to in- and outflow boundary conditions or to spatially distributed reaction terms. We are able to prove exponential decay towards equilibrium using entropy methods in several situations. As there is no conservation of mass it is difficult to exploit the gradient flow structure of the differential operator which renders the analysis more challenging. In particular, classical logarithmic Sobolev inequalities are not applicable any more. Our analytic results are illustrated by extensive numerical studies

Angelegt am Friday, 08.02.2019 13:20 von Carolin Gietz
Geändert am Tuesday, 09.04.2019 13:56 von Anne Schindler
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Kolloquium der angewandten Mathematik
Angewandte Mathematik Münster