东南大学数学学院邀请专家申请表
报告人 | 吕勇 | 单位 | 南京大学 |
报告题目 | On a compressible Oldroyd-B model | ||
报告时间 | 地点 | 一报 | |
邀请人 | 周春晖 | ||
报告摘要 | We show that a compressible Oldroyd-B type model with stress diffusion is derived from a compressible Navier-Stokes-Fokker-Planck system arising in the kinetic theory of dilute polymeric fluids. This coincide with the incompressible setting. We show the derivation of this model. We then prove the existence of large data global-in-time weak solutions in two space dimensions. We also give the local-in-time well-posedness result. Again in two dimensional setting, we give a (refined) blow-up criterion involving only the upper bound of the fluid density.By exploring a relative entropy inequality, we show a weak-strong uniqueness result. As a corollary, a conditional regularity result is given.
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报告人简介 | 吕勇，现任职于南京大学数学系。吕勇本科毕业于中国科技大学数学系，在法国巴黎七大取得硕士和博士学位，之后在布拉格查理大学从事博士后研究。2017年入选国家青年****。吕勇的主要研究领域是偏微分方程的数学分析，侧重在数学几何光学以及数学流体力学两个方向。主要研究成果发表在Archive for Rational Mechanics and Analysis，Mémoires de la Société Mathématique de France，SIAM: Journal on Mathematical Analysis, Calculus of Variations and Partial Differential Equations，ESAIM: Control, Optimisation and Calculus of Variations，等颇具影响力的期刊上。 | ||
