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Long-Time Behavior of a Point Mass in a One-Dimensional Viscous Compressible Fluid
时间  Datetime
2019-08-02 10:00 — 11:00 
地点  Venue
5#306
报告人  Speaker
Kai Koike
单位  Affiliation
Keio University
邀请人  Host
王海涛
报告摘要  Abstract

We study the long-time behavior of a point mass in a 1D viscous compressible fluid. By using the technique of pointwise estimates of Green’s function, we prove pointwise estimates of the solution to the system of the fluid and the point mass. As a corollary, we show that the velocity V(t)V(t) of the point mass decays with the power law t−3/2t−3/2, whereas the L∞L∞-norm of the fluid variables decay as t−1/2t−1/2. The nonlinearity and the compressibility play essential roles in this phenomenon.