7 citations · 17 across the 13 of their papers we have counts for
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Chaotic motions for a version of the Vlasov equation
Ugo Bessi
We consider a version of the Vlasov equation on the circle under a periodic potential and a repulsing smooth interaction . We suppose that the Lagrangian for the single…
The Aubry set for a version of the Vlasov equation
Ugo Bessi
We check that several properties of the Aubry set, first proven for finite-dimensional Lagrangians by Mather and Fathi, continue to hold in the case of the infinitely many interact…
Viscous Aubry-Mather theory and the Vlasov equation
Ugo Bessi
The Vlasov equation models a group of particles moving under a potential ; moreover, each particle exerts a force, of potential , on the other ones. We shall suppose that the…
A time-step approximation scheme for a viscous version of the Vlasov equation
Ugo Bessi
Gomes and Valdinoci have introduced a time-step approximation scheme for a viscous version of Aubry-Mather theory; this scheme is a variant of that of Jordan, Kinderlehrer and Otto…
The stochastic value function on metric measure spaces
Ugo Bessi
Let be a compact metric space and let be a Borel probability measure on . We shall prove that, if is a space, then the stochastic value…
A cost on paths of measures which induces the Fokker-Planck equation
Ugo Bessi
J. Feng and T. Nguyen have defined a cost on curves of measures which is finite exactly on the curves which solve a Fokker-Planck equation with drift. In this paper, using id…
Existence of solutions of the master equation in the smooth case
Ugo Bessi
We give a different proof of a theorem of W. Gangbo and A. Swiech on the short time existence of solutions of the master equation.