Exponential Entropy Dissipation for Weakly Self-Consistent Vlasov-Fokker-Planck Equations

被引：0

作者：

Bayraktar, Erhan ^{[1
]}

Feng, Qi ^{[2
]}

Li, Wuchen ^{[3
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

[3] Univ South Carolina, Dept Math, Columbia, SC 29208 USA

来源：

JOURNAL OF NONLINEAR SCIENCE | 2024年 / 34卷 / 01期

基金：

美国国家科学基金会;

关键词：

Auxiliary mean-field Fisher information functional; Information gamma calculus; Mean-field information Hessian matrix; EQUILIBRIUM; INEQUALITIES; CONVERGENCE; EXISTENCE; SYSTEM;

D O I：

10.1007/s00332-023-09984-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：42

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