Workshop - Problèmes mathématiques et modélisation en théorie cinétique

Evelyne Miot

Uniqueness for the Vlasov-Poisson system with unbounded density

We establish a uniqueness criterion for the Vlasov-Poisson system in two and three dimensions, allowing for densities that blow-up logarithmically. We provide explicit examples of initial data for which the uniqueness condition is satisfied for all time.

Partenaires

Irmar LMJL ENS Rennes LMBA LAREMA

Tutelles

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL