Seminario di Equazioni Differenziali e Applicazioni: “Strong competition versus fractional diffusion”

Giovedì 15 Settembre 2016, ore 12:15 - Aula 2BC30 - Gianmaria Verzini


Giovedì 15 Settembre 2016 alle ore 12:15 in Aula 2BC30, Gianmaria Verzini (Politecnico di Milano) terrà un seminario dal titolo “Strong competition versus fractional diffusion”.

Different phenomena can be modeled by elliptic systems involving a number of densities subject to diffusion, reaction and competitive interaction. Relevant particular cases include the Lotka-Volterra competition, widely used in population dynamics and ecology, and the Gross-Pitaevskii one, which appears in the modeling of Bose-Einstein condensation. When competition prevails, the densities tend to segregate each other, and a typical question regards the common shared regularity (i.e. uniform Holder bounds), uniformly w.r.t. the competition parameter. In this talk, I will first review the theory addressing such issue in the case of standard diffusion. Next I will report on some more recent results, obtained in collaboration with Susanna Terracini (Universit di Torino) and Alessandro Zilio (EHESS-CAMS, Paris), concerning the case of anomalous diffusion, i.e. when the Laplace operator is replaced by the (nonlocal) fractional laplacian.

Rif. Int. M. Bardi, P. Mannucci, C. Marchi.

Download Seminari di Equazioni Differenziali e Applicazioni

NEWS: Sciopero dei docenti e svolgimento degli esami - L'eventuale astensione riguardera' il primo appello d'esame programmato nel periodo 28 agosto - 31 ottobre 2017. X