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Financial/Actuarial Mathematics Seminar

Exponential Entropy dissipation for weakly self-consistent Vlasov-Fokker-Planck equations.
Wednesday, October 12, 2022
4:00-5:00 PM
1360 East Hall Map
We study long-time dynamical behaviors of weakly self-consistent Vlasov- Fokker-Planck equations. We introduce Hessian matrix conditions on mean-field kernel functions, which characterizes the exponential convergence of solutions in $L^1$ distances. The matrix condition is derived from the dissipation of a selected Lyapunov functional, namely auxiliary Fisher information functional. We verify proposed matrix conditions in examples. (The talk is based on a joint work with Erhan Bayraktar, and Wuchen Li.) Speaker(s): Qi Feng (UM)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics