论文标题
虚弱的自以为是的弗拉索夫 - 弗朗克方程的指数熵耗散
Exponential Entropy dissipation for weakly self-consistent Vlasov-Fokker-Planck equations
论文作者
论文摘要
我们研究了弱自以为是的vlasov-fokker-Planck方程的长期动力学行为。我们在均值场核函数上介绍了Hessian矩阵条件，该函数的特征是解决方案在$ l^1 $距离中的指数收敛。基质条件源自所选Lyapunov功能的耗散，即辅助Fisher信息功能。我们在示例中验证了建议的矩阵条件。
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.
