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SEMINARIO di ANALISI MATEMATICA
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Il seminario della Dottoressa E. Brocchieri (Università di Graz) si terra giorno Martedì 30 Settembre 2025, alle ore 15:00 nell’ Aula Professori al I Livello del DMA

Cross-diffusion systems in population dynamics: entropy methods and
weak-strong uniqueness

Abstract: In this talk, we analyse a class of cross-diffusion systems,
modeling the evolution of densities of multicomponent populations in
interaction. More precisely, we derive a class of triangular
cross-diffusion systems as its fast reaction limit.
The main tools used rely on a family of entropy functionals and
compactness arguments. In addition, we investigate the regularity of the
obtained solution, and the weak–strong stability and uniqueness.