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math.AP2023
Well-posedness and trend to equilibrium for the Vlasov-Poisson-Fokker-Planck system with a confining potential
Gayrat Toshpulatov
We study well-posedness and long time behavior of the nonlinear Vlasov-Poisson- Fokker-Planck system with an external confining potential. The system describes the time evolution o…
math.AP2023
Exponential stability and hypoelliptic regularization for the kinetic Fokker-Planck equation with confining potential
Anton Arnold, Gayrat Toshpulatov
This paper is concerned with a modified entropy method to establish the large-time convergence towards the (unique) steady state, for kinetic Fokker-Planck equations with non-quadr…