Long Time Behavior and Stabilization to Equilibria of Solutions to the Navier-Stokes-Fourier System Driven by Highly Oscillating Unbounded External Forces
2013
Abstract
We show that solutions of the Navier-Stokes-Fourier system describing the motion of a general viscous, compressible, and heat conducting fluid stabilize to an equilibrium provided the fluid is driven by highly oscillating forces with polynomial growth in time. This means that though the force we consider is unbounded, thanks to the rapid oscillations the solution will still converge to the homogeneous static state as time approaches infinity.