| Abstract: |
| The long-time behavior of kinetic Vlasov equations (on a torus) which are linearized around a velocity profile satisfying a suitable stability condition is driven by the linear Landau damping mechanism. I will present a stochastic version of the model, driven by an additive Wiener process, and its long-time behavior. This version is motivated by the study of particle systems driven by a collective noise. More precisely, in an appropriate framework, we prove the existence and uniqueness of an invariant Gaussian probability distribution, and convergence to equilibrium starting from any initial condition.
This is joint work with M.Hauray and C.Prange. |
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