报告人：吴昊（复旦大学）
时间：2025年4月9日下午4：30-5：30
地点：36-507
报告摘要：We consider a diffuse interface model for viscous incompressible two-phase flows where the mechanisms of chemotaxis, active transport and nonlocal interaction of Oono's type are taken into account. The evolution system couples the Navier-Stokes equations for the volume-averaged fluid velocity, a convective Cahn-Hilliard equation for the phase field variable, and an advection-diffusion equation for the density of chemical substance. This system is thermodynamically consistent and generalizes the well-known “Model H” for incompressible binary fluids. For the initial-boundary value problem with a physically relevant singular potential in three dimensions, we report some recent results on its well-posedness, regularity propagation and long-time behavior of global solutions.
报告人简介：吴昊，复旦大学数学科学学院教授、博士生导师，主要从事非线性发展方程及相关无穷维动力系统的研究，在关于多分量体系的相场动力学方程以及液晶流体动力学方程组的适定性和整体解长时间行为等方面取得了系列成果，在ARMA、Math. Ann.、JFA、SIMA、M3AS、CVPDE、JDE等重要数学期刊发表数十篇研究论文。同时，主持完成多项国家自然科学基金。
