A Kinetic Reaction Model: Decay to Equilibrium and Macroscopic Limit

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• Lukas Neumann, University Innsbruck
• Monday 07 March 2016, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Amit Einav.

We propose a kinetic relaxation-model to describe a generation- recombination reaction of two species. Decay to the stationary solution is studied by using hypocoercivity of the linearized equations. Expo- nential decay of small perturbations can be shown for the full nonlinear problem. We will give a short comparison of recent methods for tack- ling such problems [1, 2, 3]. If time allows we will also discuss the macroscopic/fast-reaction limit and sketch a rigorous derivation using Entropy decay estimates. The macroscopic limit, in our case, is a non- linear diffusion equation for the difference of the position densities. This talk is based on joint work with C. Schmeiser (University Vienna).

This talk is part of the Partial Differential Equations seminar series.

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