Long time behavior and stabilization to equilibria of solutions to the Navier–Stokes–Fourier system driven by highly oscillating unbounded external forces

0392417 - MÚ 2014 RIV US eng J - Journal Article
Bella, P. - Feireisl, Eduard - Pražák, D.
Long time behavior and stabilization to equilibria of solutions to the Navier–Stokes–Fourier system driven by highly oscillating unbounded external forces.
Journal of Dynamics and Differential Equations. Roč. 25, č. 2 (2013), s. 257-268. ISSN 1040-7294. E-ISSN 1572-9222
R&D Projects: GA ČR GA201/09/0917
Institutional research plan: CEZ:AV0Z10190503
Keywords : full Navier-Stokes-Fourier system * long time behavior * oscillatory forces
Subject RIV: BA - General Mathematics
Impact factor: 1.000, year: 2013
http://link.springer.com/article/10.1007%2Fs10884-013-9299-0

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.
Permanent Link: http://hdl.handle.net/11104/0221288