The Cahn-Hilliard equation with dynamic boundary conditions and singular potentials

发布者:刘茜茜发布时间:2025-12-16浏览次数:10

江苏省应用数学(中国矿业大学)中心系列学术报告


报告题目:The Cahn-Hilliard equation with dynamic boundary conditions and singular potentials

报 告 人:吴昊 教授

报告时间:2025/12/18(周四) 08:30--09:30

腾讯会议:5318371238

报告摘要:We present recent progress in the study of a class of Cahn-Hilliard equations with dynamic boundary conditions, which model short-range interactions between a binary mixture and a solid boundary. For the initial boundary value problem with physically relevant singular potentials, we address the following aspects: (1) well-posedness, (2) regularity and the separation property of solutions, (3) long-time behavior, (4) asymptotic limits concerning the boundary diffusion coefficient and the kinetic rate.

报告人简介:吴昊,复旦大学数学科学学院教授,主要研究方向为非线性发展方程的适定性及其整体解的渐近行为。他在相场动力学方程、液晶流体力学方程等领域取得了一系列进展,研究成果发表于ARMAMath. Ann.JFAM3AS 等数学期刊。吴昊曾获中国工业与应用数学学会优秀青年学者奖,入选国家高层次青年人才项目,现担任 Asymptotic AnalysisAdvances in Differential Equations 等学术期刊的编委。