报告题目：Global well-posednessand large time behavior of classical solutions to a generic compressible two-fluid model

主 讲 人： 姚磊 教授

单      位：西北工业大学

时      间：2024年4月26日15：00

地      点：学院二楼会议室

摘      要：We investigate a generic compressible two-fluid model with common pressure P⁺=P^- in R³ . Global well-posedness of the 3D compressible two fluid model with common pressure has been a challenging problem due to the fact that the system is partially dissipative and its nonlinear structure is very terrible. By exploiting the dissipation structure of the model and making full use of several key observations, we establish global existence and large time behavior of classical solutions to the 3D compressible two-fluid model with common pressure. One of key observations here is that to closure the higher-order energy estimates of non-dissipative variables (i.e,fraction densitiesα^±ρ^±), we will introduce the linear combination of two velocities: v=(2μ⁺ +λ⁺)u⁺-(2μ^-+λ^-)u^- and explore its good regularity, which is particularly better than ones of two velocities themselves.

简      介：姚磊，西北工业大学教授， 博士生导师，2010年在华中师范大学获理学博士学位。主要从事流体力学中的偏微分方程数学理论的研究，论文发表在Math. Ann.、JMPA、Ann. I. H.Poincaré-AN、SIAM JMA、Indiana Univ. Math. J.、M3AS等国际期刊上。