Stampa

SEMINARI DI ANALISI MATEMATICA

Evento 

Titolo:
The role of a strong confining potential in a nonlinear Fokker-Planck equation
Quando:
30.04.2019 14.30 h
Dove:
Palazzo Campana - Torino
Aula:
Sala S
Relatore:
Dott. Luca Alasio
Afferenza:
GSSI L'Aquila
Proponente:
S. Terracini
Locandina:
Locandina

Descrizione

Solutions of nonlinear nonlocal Fokker–Planck equations in a bounded domain with no-flux boundary conditions can be approximated by Cauchy problems with increasingly strong confining potentials defined in the whole space. Two different approaches are analyzed, making crucial use of uniform estimates for L^2 energy functionals and free energy (or entropy) functionals respectively. In both cases, we prove that the weak formulation of the problem in a bounded domain can be obtained as the weak formulation of a limit problem in the whole space involving a suitably chosen sequence of large confining potentials. The free energy approach extends to the case degenerate diffusion.

Sede

Mappa
Sede:
Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto, 10
Cap:
10123
Città:
Torino
Provincia:
To
Paese:
Paese: it

Descrizione

Dipartimento di Matematica, Università degli Studi di Torino