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math.AP2019
A note on the Lagrangian flow associated to a partially regular vector field
Gianluca Crippa, Silvia Ligabue
In this paper we derive quantitative estimates for the Lagrangian flow associated to a partially regular vector field of the form $$ b(t,x_1,x_2) = (b_1(t,x_1),b_2(t,x_1,x_2)) \in…
math.AP2017
Lagrangian solutions to the Vlasov-Poisson system with a point charge
Gianluca Crippa, Silvia Ligabue, Chiara Saffirio
We consider the Cauchy problem for the repulsive Vlasov-Poisson system in the three dimensional space, where the initial datum is the sum of a diffuse density, assumed to be bounde…