Long-Time Behavior of a Point Mass in a One-Dimensional Viscous Compressible Fluid and Pointwise Estimates of Solutions
Kai Koike
Abstract:A. We consider the motion of a point mass in a one-dimensional viscous compressible barotropic fluid. The fluid-point mass system is governed by the barotropic compressible Navier-Stokes equations and Newton's equation of motion. Our main result concerns the long-time behavior of the fluid and the point mass, and it gives pointwise convergence estimates of the volume ratio and the velocity of the fluid to their equilibrium values. As a corollary, it is shown that the velocity V(t) of the point mass satisfies a… Show more
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