[Dottorcomp] Seminari di Matematica Applicata, 21/04/2026, Bruno Volzone

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

*Martedì 21 Aprile 2026*, alle *ore 15* precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Bruno Volzone (Politecnico di Milano)

terrà un seminario dal titolo:

New advances in some nonlinear anisotropic diffusion equations.

Abstract:  In this talk we describe several aspects related to the theory
of some anisotropic parabolic equations. The anisotropy shown in such
equations will appear in the form of porous medium, in the fast and porous
medium diffusion regime. In particular, we show the existence of self-
similar fundamental solutions, which is uniquely determined by its mass,
and the asymptotic behaviour of all finite mass solutions in terms of the
family of self-similar fundamental solutions. Time decay rates are derived
as well as other properties of the solutions, like quantitative
boundedness, positivity and regularity. The investigation of both models
are objects of joint works with F. Feo and J. L. Vázquez.

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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/