69 KAM Mathematical Colloquium

Abstract

We will describe the role of heat equations in the description of diffusion models in nature, going from linear to nonlinear equations. The latter bring geometry, like the free boundaries, nonlinear functional analysis based on estimates, and novel asymptotic methods related to dynamical systems. Unsuspected connections to Riemannian geometry and the entropy methods of kinetic theory have appeared lately. We will mention our work on porous medium and fast diffusion flows.
 

O přednášejícím

Juan Luis Vazquez je profesorem na Universidad Autonoma v Madridu. Studoval v Madridu a behem sve dlouhe aktivity se venoval mnoha otazkam aplikovane matematiky, matematicke analyzy, numericke matematiky a dynamickym systemum. Je autorem 4 mezinarodnich monografii a za svou cinnost byl vyznamenan napriklad Spanelskou Narodni cenou za vyzkum. V roce 2006 prednesl plenarni prednasku na Mezinarodnim kongresu matematiku. V soucasnosti je rovnez Presidentem vedeckeho vyboru Kralovske akademie ved. Je vlivnym ucitelem a pres 10 jeho studentu je jiz profesory na vysokych skolach ve Spanelsku a v zahranici. Z oblasti jeho hlavniho zajmu je rovnez jeho prazske kolokvium.