活动时间：2022-08-12、8-15、8-17、8-19 15:00

主讲人简介：

Alain Miranville教授是国际知名无穷维动力系统专家，法国普瓦捷大学应用数学杰出教授，AIMS的微分方程与动力系统系列著作的主编（2017-至今），AIMS Mathematics的主编（2016-至今），Discrete and Continuous Dynamical Systems S 的联合主编 （2008-），同时是 Adv. Nonlinear Anal.,  Appl. Math. & Optim., Comm. Pure Appl. Anal., J. Nonlinear Funct. Anal.,  Math. Meth. Appl. Sci. 及 Nonautonomous Dynamical Syst.的编辑。法国普瓦捷大学数学及其应用实验室数学图形及健康研究团队的负责人, 数学及其应用实验室偏微分方程团队的负责人。

内容摘要：

Our aim in these lectures is to discuss models in phase transition (an example is the melting of ice). We will concentrate on the phase-field system proposed by Caginalp and some of its variants. We will discuss the modeling and the mathematical analysis: well-posedness, regularity of solutions and existence of finite-dimensional attractors. We will consider both the cases of regular and logarithmic nonlinear terms.

主持人：秦玉明