Kolloquien und Oberseminare Übersicht Detail

Speaker:
Dr. Nicola Zamponi (Technische Universität Wien)

Abstract: The global in time existence of weak solutions to a cross-diffusion system with fractional diffusion in the whole space is proved. The equations describe the evolution of multi-species populations in a regime of large-distance interactions; they have been derived in the many-particle limit from moderately interacting particle systems with L´evy noise. The existence proof is based on a three-level approximation scheme, entropy and moment estimates, and a new Aubin-Lions compactness lemma in the whole space.