广州数学大讲坛第一期
第一讲——美国纽约州立大学韩道志助理教授学术报告
题目：A quasi-incompressible model for two-phase flows in porous media
时间：2024年1月2日（周二）下午14：30——15：30
地点：理学实验楼314
报告人：韩道志助理教授
摘要: Two-phase flows in porous media is known as the Muskat problem. The Muskat problem can be ill-posed. In this talk we introduce a quasi-incompressible Cahn-Hilliard-Darcy model as a relaxation of the Muskat problem. We show global existence of weak solution to the model. We then present a high order accurate bound-preserving and unconditionally stable numerical method for solving the equations. The talk is based on works joint with Yali Gao and Xiaoming Wang.
报告人简介：
韩道志，美国纽约州立大学水牛城分校助理教授。主要研究方向为流体力学中的非线性偏微分方程，以及相关的数值计算和分析。主持美国国家自然科学基金项目两项。在Journal of Differential Equations, Journal of Computational Physics, Numerische Mathematik，SIAM Journal on Applied Dynamical Systems, SIAM Journal on Numerical Analysis等刊物发表论文数篇。
