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Large time behavior of solutions to the compressible Navier-Stokes equations in a cylinder under the slip boundary condition
时间  Datetime
2018-04-09 16:00 — 17:00 
地点  Venue
601,Pao Yue-Kong Library
报告人  Speaker
Yoshiyuki Kagei
单位  Affiliation
Kyushu University, Japan
邀请人  Host
Chunjing Xie
报告摘要  Abstract

In this talk, we consider the compressible Navier-Stokes equations in a cylinder under the slip boundary condition. It is shown that if the initial data is smooth and sufficiently close to the motionless state, then there exists a unique solution globally in time. Furthermore, it is proved that the large time behavior of the solution is described by a superposition of one-dimensional nonlinear diffusion waves and a diffusive rigid rotation.