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.
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页数：42
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