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

Dienstag, 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 Freitag, 08.02.2019 13:20 von cgiet_01
Geändert am Freitag, 08.02.2019 13:20 von cgiet_01
[Edit | Vorlage]

Angewandte Mathematik Münster
Kolloquium der angewandten Mathematik
Mathematics Münster