报告题目：Global solutions to an IBVP of a phase-field model for motion of grain boundaries

报 告人：朱佩成教授，上海大学

报告时间：2023年6月7日 10:00

报告地点：20-306

报告摘要：We shall prove global existence of weak solutions to an initial-boundary value problem for a novel phase-field model which is proposed as an attempt to describe the motion of grain boundaries, a type of interface motion by interface diffusion driven by bulk free energy in elastically deformable solids. Its applications include important processes arising in Materials science, e.g., Sintering. In this model the evolution equation for an order parameter is a non-uniformly, degenerate parabolic equation of fourth order, which differs from the Cahn-Hilliard equation by a non-smooth term of the gradient of the unknown. This talk is based on a joint with X. Z. Bian.

报告人简介：朱佩成，上海大学教授，入选上海高端人才计划，在多个国家任过职，并在欧洲取得永久职位。在 CPM, ARMA, M3AS,  SIAM J. Appl. Math., Proc. Roy. Soc. Edinburgh Sect. A， J. Differential Equations 国际杂志发表了60多篇论文。主持上海市科委重点项目《汽车用高压共轨技术中基于微纳米流体仿真模拟的数学问题研究》等多个项目。