Global Existence of Weak Solutions to An IBVP of a Phase-Field Model for Motion of Grain Boundaries

主讲人：朱佩成 上海大学教授

时间：2026年5月23日9：00

地点：徐汇校区三号楼332室

举办单位：数理学院

主讲人介绍：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。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。

内容介绍：We shall prove global existence of weak solutions to an initial-boundary value problem for a novel phase-field model which is an elliptic-parabolic coupled system. This model 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.