L. I. Sazonov, “Estimates of the perturbed Oseen semigroup in <nobr>$\mathbb R^n$</nobr> and stability of the Navier–Stokes flow”, Vladikavkaz. Mat. Zh., 2010, Volume 12, Number 3,Pages <nobr>71

This article is cited in 2 papers

Estimates of the perturbed Oseen semigroup in $\mathbb R^n$ and stability of the Navier–Stokes flow

L. I. Sazonov^ab

^a Southern Federal University, Russia, Rostov-on-Don
^b South Mathematical Institute of VSC RAS

Abstract: We present power-like estimates for the perturbed Oseen semigroup in $\mathbb R^n$. They are used for an estimation of solutions in the nonlinear perturbed Oseen system.

Key words: Navier–Stokes system, Oseen semigroup, stability.

UDC: 517.95

Received: 03.12.2009