Universität Augsburg

Dr. Jonas Tölle
Universität Helsiniki
spricht am
Donnerstag, 23. Januar 2020
um
15:45 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: 
Pattern formation at the ecosystem level is a rapidly growing area of spatial ecology. Theoretical models are a widely used tool for studying e.g. banded vegetation patterns. One important model is the system of advectiondiffusion equations proposed by Klausmeier which is a model for vegetation dynamics in semideserted areas. It is a generalization of the socalled GrayScott system which already exhibits effects similar to Turing patterns. The underlying mathematics of this model is given by a pair of solutions $(u,v)$ to a partial differential equation system coupled by a nonlinearity. The function $u$ represents the surface water content and $v$ represents the biomass density of the plants. In order to model the spread of water on a terrain without a specific preference for the direction in which the water flows, the original models were extended by replacing the diffusion operator by a nonlinear porous media operator, which represents the situation that the ground is partially filled by interconnected pores conveying fluid under an applied pressure gradient. 
Hierzu ergeht herzliche Einladung. 
Prof. Dr. Dirk Blömker 