COURS DE M2-EDPMAD

"Comportement remarquable d'EDP d'évolution issues de la biologie"

(Remarkable behaviour of PDE equations arising in biology)


 

Lecture 1 (March 20, 2013, from 13h45 to 17h - room B215, Université Paris-Dauphine) : 
Introduction - Long time behaviour for the linear Boltzmann equation and the Fokker-Planck equation
Notes Chapitre 1

Lecture 2  (March 27, 2013, from 13h45 to 17h - room B112, Université Paris-Dauphine) : 
Evolution PDE, existence and associated semigroup

Lecture 3  (April 3, 2013, from 13h45 to 17h - room B212, Université Paris-Dauphine) : 
Growth fragmentation model - existence, mass conservation and shattering, self-similarity and first eigenvalue

Lecture 4  (April 10, 2013, from 13h45 to 17h - room B207, Université Paris-Dauphine) : 
Spectral analysis of semigroups in Banach spaces

Lecture 5  (April 17, 2013, from 13h45 to 17h - room B207, Université Paris-Dauphine) : 
Growth fragmentation model - the long time behaviour

Lecture 6  (April 24, 2013, from 13h45 to 17h - room B207, Université Paris-Dauphine) : 
Keller-Segel model - existence, mass conservation and blow up, self-similarity

Lecture 7  (May 15, 2013, from 13h45 to 17h - room B207, Université Paris-Dauphine) : 
Keller-Segel model - the long time behaviour