70 citations · 239 across the 42 of their papers we have counts for
5 papers · 1 filter
On Fokker-Planck Equations with In- and Outflow of Mass
Martin Burger, Ina Humpert, Jan-Frederik Pietschmann
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…
Strong solutions and weak-strong stability in a system of cross-diffusion equations
Judith Berendsen, Martin Burger, Virginie Ehrlacher +1
Proving the uniqueness of solutions to multi-species cross-diffusion systems is a difficult task in the general case, and there exist very few results in this direction. In this wo…
Parameter identification in a structured population model
Alexander Lorz, Jan-Frederik Pietschmann, Matthias Schlottbom
We study parameter identification problems in a structured population model without mutations. Given measurements of the total population size or critical points of the population,…
Mean field models for segregation dynamics
Martin Burger, Jan-Frederik Pietschmann, Helene Ranetbauer +2
In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the…
Asymptotic models for transport in large aspect ratio nanopores
B. Matejczyk, J. -F. Pietschmann, G. Richardson +1
Ion flow in charged nanopores is strongly influenced by the ratio of the Debye length to the pore radius. We investigate the asymptotic behaviour of solutions to the Poisson-Nernst…