20231210 姚磊 Global well-posedness and large time behavior of classical solutions to a generic compressible two-fluid model

报告题目：Global well-posednessand large time behaviorof classicalsolutionsto a generic compressible two-fluid model

报告人：姚磊教授（西北工业大学数学与统计学院）

邀请人：熊林杰

时间：12月10日10:00-11:00（北京时间）

地点：数学学院425

摘要：We investigate a generic compressible two-fluid model with common pressure in R^3. Globalwell-posednessof the 3Dcompressibletwo fluidmodelwithcommon pressurehasbeenachallengingproblemdueto the factthat the systemis partiallydissipativeandits nonlinearstructureis veryterrible.By exploiting thedissipation structureofthemodelandmakingfulluse of several keyobservations,weestablish globalexistence and largetime behavior of classical solutions to the 3D compressible two-fluidmodelwith commonpressure. One of keyobservationshere is that to closure thehigher-orderenergyestimates ofnon-dissipative variables,we will introduce the linear combination of twovelocities:and explore its goodregularity, whichis particularlybetterthanones of two velocities themselves.

报告人简介：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。