题目： Some recent progress on a kinetic-fluid model

报告人：栗付才 南京大学教授   

时间：2021月12日17 16:00

腾讯会议：76276549989

主办单位：数学与统计学院

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  报告摘要： A kinetic-fluid model describing the evolution of disperse two-phase flows is considered. This model consists of the Vlasov-Fokker-Planck equation for the particles (disperse phase) coupled with the compressible Navier-Stokes equations for the fluid (fluid phase) through the friction force. The friction force depends on the density, which is different from many previous studies on kinetic-fluid models and is more physical in modeling but significantly more difficult in analysis. We first discuss the global well-posedness of strong solution in the three-dimensional whole space is established when the initial data is a small perturbation of some given equilibrium.  Next，we discuss the global existence of weak solution for general initial data when the friction force depends on a given function.       

  个人简介：栗付才，南京大学数学系教授、博士生导师, 主要研究方向为非线性偏微分方程。目前已在Adv. Math.、Comm. Math. Phys.、SIAM J. Math. Anal.、Nonlinearity、J. Differential Equations等国际知名学术杂志上发表论文80余篇。主持和参加国家自然科学基金项目7项，2011年入选教育部新世纪优秀人才支持计划、 2016年获得教育部高等学校科学研究优秀成果奖自然科学奖二等奖。