| Abstract: |
| Cross-diffusion systems play a major role in many applied contexts.
One of the many interesting challenges is to classify parameter regimes for global existence or blow-up of their solutions.
In order to prove global existence of solutions we introduce a new engergy functional, which is motivated by the transformation matrix given by Oelschlager in 1989, and which he used to rigorously derive cross-diffusion systems from moderately interacting stochastic many
particle systems under the condition that the limiting PDE-system has regular solutions. We compare our findings with more recent results on the existence of solutions for cross-diffusion systems.
(Joint work with Kyungeun Kang) |
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