Stabilizing the long-time behavior of the Navier–Stokes–Voigt equations by fast oscillating-in-time forces
Volume 65 / 2017
Bulletin Polish Acad. Sci. Math. 65 (2017), 177-185
MSC: 76A10, 93D15, 35Q35, 93C20.
DOI: 10.4064/ba8094-9-2017
Published online: 23 October 2017
Abstract
We show that under the action of fast oscillating-in-time external forces, there exists a unique time periodic solution, and any weak solution to the Navier–Stokes–Voigt equations converges to this time periodic flow with exponential speed in time.
