Global-in-time Stability of the Non-negativity Property in the Spatially Homogeneous Landau Equation with Soft Potentials
Prof. Ling-Bing He
Tsinghua University

In this study, we analyze the Landau equation with soft potentials under spatially homogeneous conditions. Our primary objective is to establish the existence, uniqueness, and global dynamics of the solution when a perturbation is introduced to the initially non-negative background solution. Notably, this perturbation is allowed to have negative values. Additionally, we explore the practical application of spectral methods in achieving local-in-time stability for solving the Landau equation.

About the Speaker

何凌冰, 2007年博士毕业于中科院数学与系统科学研究院, 后加入清华大学数学科学系。现任清华大学数学科学系教授、博士生导师, 主要研究领域为动理学方程与流体力学方程组。在JEMS, Annales de l'ENS, CMP, ARMA等数学杂志发表论文30余篇。

2024-04-09 3:00 PM
Room: A303 Meeting Room
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