SEMINARI DI ANALISI MATEMATICA
Evento
- Titolo:
- Traveling waves for reaction-diffusion equations involving the curvature operator
- Quando:
- 14.01.2015 13.30 h
- Dove:
- Palazzo Campana - Torino
- Aula:
- Aula C
- Relatore:
- Dott. Maurizio Garrione
- Afferenza:
- Università di Milano Bicocca
- Proponente:
- V. Barutello
- Locandina:
-
Descrizione
We are concerned with the existence of monotone traveling waves connecting two different equilibria for a reaction-diffusion PDE where the spatial diffusion is of mean-curvature type. Explicitly, we search for solutions \(u(t, x)=u(x+ct)\) to the PDE \[ u_t= \left(\frac{u_x}{\sqrt{1+u_x^2}}\right)_x + f(u), \] considering different shapes of $f(u)$ so as to include, in our study, several cases which are quite classical in literature. For such reaction terms, we examine the set of the admissible speeds (i.e., the numbers \(c \in \mathbb{R}\) for which there exists a solution as above), showing analogies and differences with respect to the case of a linear diffusion. The technique used relies on a change of variables leading to a suitable first order reduction.
Sede
- Sede:
- Palazzo Campana - Sito web
- Via:
- Via Carlo Alberto, 10
- Cap:
- 10123
- Città:
- Torino
- Provincia:
- To
- Paese:
-
Descrizione
Dipartimento di Matematica, Università degli Studi di Torino
