Stationary solutions for the heterogeneous Fisher–KPP equation

Categoria: 
Seminari di Analisi Matematica
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Altro (Aula esterna al Dipartimento)
Sede: 

Dipartimento di Matematica, Università di Roma Tor Vergata

Aula esterna: 
Aula Dal Passo
Speaker: 
Luca Rossi (Università di Roma “Sapienza”)
Does the heterogeneous Fisher-KPP equation admit a unique stationary solution? We will present a positive result which is valid up to dimension 6. Then we will see that some surprises may occur in higher dimension. These results shed a light on the question of long-time convergence of solutions of the reaction-diffusion equation. This is a joint work with O. Tough.
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