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甬江数学讲坛265讲(2022年第49讲)
2022-07-13 14:05     (点击:)

报告题目:Compressible Navier-Stokes Equations with Far Fields Vaccum

报告人:辛周平 教授(香港中文大学)

报告时间2022713(周三) 下午 300--5:30

报告形式:线上, 腾讯会议号:994-1759-5587

密码:202207

报告摘要:In this talk the dynamics of the vacuum state is one of the challenging issues for viscous and heat conductive compressible fluids which are governed by the full compressible Navier-Stokes equations(CNS). In the presence of vacuum, the CNS are strongly degenerate, which lead to many new phenomena such as instantaneous and finite blow-up of entropy bounded solutions and breakdown of either the total momentum or the  total energy,  and great difficulties associated with both local and global well-posedness of strong  solutions.  In particular,  since the entropy is one of the most important physical states and it's equation is highly singular near vacuum, so the propagation of boundedness of the entropy in the presence of far fields vacuum is of great importance. In this talk, I will discuss some of key issues in studying the full Navier- Stokes system and present some recent results on entropy-bounded strong solutions to the CNS with both constant viscosity and heat conductivity coefficients and the degenerate case. This talk is based on joint works with Jinkai Li, and Qin Duan - Shengguo Zhu.

报告人简介:辛周平教授著名数学家,香港中文大学数学科学研究所常务所长、蒙民伟数学讲座教授。1988年获美国密歇根大学博士学位,后加入美国纽约大学柯朗数学研究所并于1996年成为终身教授。辛周平教授长期从事流体力学偏微分方程理论研究,在双曲守恒律、高维激波、边界层理论、混合型方程、可压流体与不可压流体方程和松弛格式等领域做出了突出贡献。他曾任香港数学会会长,获得的许多荣誉包括:世界华人数学家大会晨兴数学奖金奖2004年)、国际数学家大会特邀报告人(2002年)、美国“Sloan1991年)等。


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