Southwest Jiaotong University School of Mathematics

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Global solutions in a Keller-Segel-Navier-Stokes system

来源:   作者:樊明书     日期:2019-06-17 13:01:11   点击数:  

题目:Global solutions in a Keller-Segel-Navier-Stokes system

时间:2019年6月18日(星期二)16:30-17:30

地点:X2511


摘要In this talk we consider the initial-boundary value problem for a Keller-Segel-Navier-Stokes system in a bounded domain with smooth boundary. For the 2D case, we shall prove that any arbitrarily small algebraic saturation effect in the chemotactic sensitivity at large densities is sufficient to rule out any blow-up phenomenon. In the 3D case setting, we shall establish the existence of global weak solutions under some suitable saturation assumption of the sensitivity.


报告人简介:

王玉兰, 西华大学理学院教授,硕士生导师,四川省学术和技术带头人后备人选;研究方向:非线性偏微分方程。

2008年博士毕业于四川大学;先后到德国帕德博恩大学和香港理工大学做访问学者。近五年先后主持国家自然科学基金项目1项,四川省应用基础研究计划1项,四川省教育厅项目1项;在 “Ann Scuola Norm Sup Pisa”,  “ Math Z.”, “ Math. Models Methods Appl. Sci.”, “J.Differential Equations”, “Discrete Contin. Dynam. Syst. A”, “Commun. Math. Sci.”, “Discrete Contin. Dynam. Syst. B” 等数学期刊上发表论文十余篇,其中多篇论文入选ESI高被引论文.