报告题目：Numerical analysis for the Cahn-Hilliard-Hele-Shaw
system with logarithmic Flory-huggins potential
报 告 人：贾宏恩 教授
工作单位：太原理工大学
报告时间：2026-04-10 14:30–16:30
报告地点：数信学院3412报告厅
报告摘要：
In this work, a decoupled, energy stable numerical scheme for CH-HS system with logarithmic potential is proposed and analyzed. Combing with a convex-splitting of the energy functional, the temporal discretization of the CH equation is done. The nonlinear term in the CH equation is fully decoupled from the pressure in the Darcy equation by using an operator splitting. Finally, the velocity is updated by the pressure gradient in Darcy equation using incremental pressure-correction technique, so that only solve a Possion equation at each time step. For logarithmic potential, we use the regularization procedure. So, the overflow can be avoided when some small fluctuation happened near the domain boundary of the numerical solution. Finally, the stability and convergence ofthe scheme are presented.
报告人简介：
贾宏恩，博士(后)，太原理工大学教授，硕士生导师。致力于偏微分方程理论及其数值计算，机器学习算法，大模型应用研究。主持国家自然科学天元、青年基金各一项， 山西省自然科学基金面上项目二项，第58批博士后基金一项，山西省高等学校科技创新项目一项，山西省研究生教改项目一项，山西省本科生教改项目一项。接收或发表论文80多篇，其中SCI文章50多篇。中国数学会计算数学分会理事，山西省商用密码专家组成员，入选山西省“三晋英才”青年优秀人才计划、 山西省数学会理事、美国数学会《Mathematical Reviews》评论员、英文期刊《finite element analysis and application》编委、中文期刊《国际应用数学进展》（AAM）期刊编委、《中国理论数学前研》编委。
