Speaker
Viorel Barbu
(Octav Meyer Institute of Mathematics of the Romanian Academy)
Description
For the initial data in the Wasserstein space $W_{2}$ and with finite Gibbs--Boltzmann entropy, the solution to the nonlinear Fokker-Planck equation is time absolutely continuous in the Wasserstein metric. Moreover, for initial data with exponential decay, the solution is convergent in $L^{1}(\mathbb R^{d})$ for $t$ convergent to $+\infty$ to a stationary solution of this equation.