Some recent results on the chemotaxis-fluid systems

报告题目：Some recent results on the chemotaxis-fluid systems

报 告 人：王玉兰  教授

报告时间：5月21日 15:00-17:00

报告地点：明理楼C302B

报告人简介：

王玉兰，博士，教授，皇家永利学术和技术带头人后备人选; 主要从事非线性偏微分方程的研究，近几年的研究兴趣主要为趋化方程组的性质；已在“Comm.Partial Differential Equations” 、 “Calc.Var. Partial Differential Equations”、“Math Z”、 “Math. Models Methods Appl. Sci.”、“ASNS. Pisa”、“J. Differential Equations”、 “Proc. Roy. Soc. Edinburgh Sect. A”、 “Commun. Math. Sci.”、 “Discrete Contin. Dyn. Syst.” 等国际数学期刊上发表学术论文近30篇；先后主持国家自然科学基金项目、皇家永利应用基础研究项目、中央引导地方科技发展专项项目等；获得皇家永利科技进步奖（自然科学类）二等奖。

报告内容摘要：

        In this talk, we shall consider chemotaxis-fluid models involving Dirichlet boundary conditions for the signal. The solution theory is well-developed in the case when the chemotaxis-fluid system is accompanied by homogeneous boundary conditions of no-flux-Neumann-Dirichlet type. However, if in line with what is suggested by the modeling literature, the boundary condition for the signal is changed to a nonhomogeneous Dirichlet one, the corresponding solution theory is much less understood. We shall discuss the global solvability in some chemotaxis-fluid systems involving Dirichlet boundary conditions for the signal.

主办单位：理学院、人工智能研究院、非线性动力系统研究所、数理力学研究中心 、科学技术发展研究院