报告题目：Energy-stable fully discrete finite element schemes for the Ferrohydrodynamics model

报 告 人：董晓靖 教授

报告时间：2026年5月28日 (星期四) 上午10:30-12:00

报告地点：文科综合楼 E-2029会议室

数理学院

2026年5月25日

报告人简介：

董晓靖，湘潭大学教授。主要从事不可压缩磁性流体力学高效数值算法研究。入选中国科学技术协会“第六届青年人才托举工程”。主持国家自然科学基金面上项目及青年项目各1项。在《Journal of Computational Physics》、《IMA Journal of Numerical Analysis》、《Science China Mathematics》、《Computer Methods in Applied Mechanics and Engineering》、《Journal of Scientific Computing》等上发表论文20余篇。

报告摘要：

Ferrohydrodynamics (FHD) describes the motion of a magnetic fluid, usually called a ferrofluid. A ferrofluid is a stable colloidal fluid consisting of nanoscale ferromagnetic particles suspended in a carrier fluid. A colloidal ferrofluid can keep magnetization and fluidity under the action of an external magnetic field. In this talk, we propose unconditionally energy-stable, and fully discrete finite element schemes for the FHD model. We obtain the existence and uniqueness of the numerical solutions b, and prove the unconditional convergence. Numerical experiments simulate the controllability of the magnetic fluid driven by an applied magnetic field.