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math.AP2023
Existence and stability of weak solutions of the Vlasov--Poisson system in localized Yudovich spaces
Gianluca Crippa, Marco Inversi, Chiara Saffirio +1
We consider the Vlasov--Poisson system both in the repulsive (electrostatic potential) and in the attractive (gravitational potential) cases. In our first main theorem, we prove th…
math.AP2023★ 1 cited
Uniqueness criteria for the Vlasov--Poisson system and applications to semiclassical analysis
Laurent Lafleche, Chiara Saffirio
We review some uniqueness criteria for the Vlasov--Poisson system, emerging as corollaries of stability estimates in strong or weak topologies, and show how they serve as a guideli…