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Universität Augsburg
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Universität Augsburg
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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 advection-diffusion equations proposed by Klausmeier which is a model for vegetation dynamics in semi-deserted areas. It is a generalization of the so-called Gray-Scott 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 |