Equations de croissance fragmentation linéaires et non linéaires

Orateur: BOURGERON Thibault
Localisation: Université Paris 6, France
Type: Séminaire des doctorants
Site: UPEC
Salle: CC P4 P06 (ex P4 - 0042)
Date de début: 26/03/2014 - 14:00
Date de fin: 26/03/2014 - 14:00

The growth-fragmentation equation (GFE) is a model which describes the evolution over time of a population which grows and divides, with respect to a structuring variable. This PDE appears in many applications such as: crushing rocks, combustion, which are pure fragmentation phenomena, and also: cell division, protein polymerization, data transmission protocols, neurons networks. After presenting the theory which has been developed during the last decade, we will focus on two questions. From a noisy measurement of the solution in large time how the division rate can be estimated? This problem has some interesting applications in cell biology. The second question will be: Is there a decay to a steady state for a non linear GFE used in neuroscience?