Séminaire AA — Well-posedness of the Vlasov-Poisson system with floating potential at a wall.
Bastien Grosse
Université de Nantes
https://github.com/Bastien-Grosse
Date(s) : 18/11/2025 iCal
11h00 - 12h00
We are interested in a bi-species, uni-dimensional plasma occupying the domain [0,1]. Particles are injected at x=0 and at x=1 there is a fully absorbing wall. If we want to model the problem by the Vlasov-Poisson system, then we have to choose a boundary condition for the potential.
The system is compatible with the Maxwell-Ampère equation only for a nonlinear Dirichlet boundary condition at the wall, which depends on currents. This expression for the floating potential is naturally associated with finite energy solutions. We will study well-posedness of the system in the space BV.
Then, we will show simulation for stationary data, and comment on the long time behavior.
Emplacement
I2M Saint-Charles - Salle de séminaire
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