Seminario di Equazioni Differenziali e Applicazioni: Singular traveling waves and non-linear reaction-diffusion equations

Mercoledì 11 Novembre 2015, ore 15:30 - Sala Riunioni VII Piano - Juan Calvo



Mercoledì 11 Novembre 2015 alle ore 15:30 in Sala Riunioni VII Piano, Juan Calvo (UPF Barcelona) terrà un seminario dal titolo "Singular traveling waves and non-linear reaction-diffusion equations".

Linear reaction-diffusion equations have become a very popular tool in the field of Mathematical Biology since the pioneering works of Fisher, Kolmogorov, Petrovski and Piscounov on traveling wave solutions. Despite their large degree of success, these models are not always the most accurate choice due to their exponential tails. After reviewing some alternative descriptions we will focus on certain nonlinear reaction-diffusion equations whose traveling wave solutions come with a natural cutoff; this feature may render such solutions more accurate than the usual ones for some modeling purposes. The analysis of these families of traveling waves is accomplished through a combination of techniques from planar dynamical systems and parabolic-hyperbolic partial differential equations.

Rif .Int . M. Bardi, C. Marchi, D. Castorina.

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