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Universität Augsburg
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Universität Augsburg
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Dr. Nicola Zamponi
Universität Augsburg
spricht am
Donnerstag, 29. Januar 2026
um
15:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| A fractional cross-diffusion system is studied that describes the evolution of multi-species populations in the regime of large-distance interactions. Global-in-time existence of weak solutions to the system in the whole space is shown by employing a three-level approximation scheme, entropy and moment estimates, and an Aubin-Lions compactness lemma in the whole space. A similar system is then studied in a bounded domain, which includes fractional diffusion defined via the spectral fractional Laplacian. Global-in-time existence of weak solutions for the initial-boundary value problem is proved via an approximation scheme involving a heat semigroup representation of the spectral fractional Laplacian, while weak-strong uniqueness and exponential convergence of the solutions to the constant steady state are shown via relative entropy methods. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Bernd Schmidt |