In this paper, we show uniqueness of weak solutions to the Vlasov-Poisson system on the only condition that the macroscopic density ρ defined by ρ (t, x) = ∫Rd f (t, x, ξ) d ξ is bounded in L∞. Our proof is based on optimal transportation.
|Number of pages||12|
|Journal||Journal des Mathematiques Pures et Appliquees|
|Publication status||Published - Jul 2006|
- Optimal transportation
- Transport equations
- Vlasov-Poisson system