lyapunov condition 1mcKean-vlasov equations 1pathwise uniqueness 1stochastic differential equations 1well-posedness 1
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math.AP2026
Convergence rates of Wasserstein gradient flows for nonlinear Fokker-Planck equations with mobility and related inequalities
Zhenxin Liu, Xuewei Wang
For nonlinear Fokker-Planck equations with mobility, the Wasserstein gradient flow structure is described by the generalized relative entropy as the energy functional and the modif…
math.AP2026
Nonlinear Vlasov-Fokker-Planck equations: From generalized Wasserstein gradient flow to GENERIC structure
Zhenxin Liu, Xuewei Wang
We study the GENERIC (General Equation for Non-Equilibrium Reversible Irreversible Coupling) formulation of the nonlinear Vlasov-Fokker-Planck equation from the perspective of grad…