勷勤数学•专家报告

题      目：Kinetic Equations with External Potentials: Equilibria and Stability

报  告  人： 何凌冰 教授  (邀请人：李颖花)

                                          清华大学

时      间： 3月20日  16：00-17:00

地     点：数科院东楼401

报告人简介:

       何凌冰，清华大学数学系教授，研究领域为偏微分方程，包括流体力学方程组（Navier-Stokes, Euler,MHD），动理学方程（Boltzmann，Landau，Vlasov-Possion）。已在“Ann. Sci.Éc. Norm. Supér.”、“Ann. PDE”、“Comm. Math. Phys.”、“Arch. Ration. Mech. Anal.”、“Math. Ann.”等国际主流数学杂志发表多篇学术论文。

摘      要：

       We study the Boltzmann and Landau equations in the presence of external potentials. Our main results establish that: (i) Every entropy-invariant solution is uniquely determined by the conservation laws. (ii) The equilibria are linearly or nonlinearly stable, with polynomial convergence rates that are explicitly characterized by the initial data.

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