On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation. (English) Zbl 1094.35097

Enomoto, Yuko; Shibata, Yoshihiro

J. Math. Fluid Mech. 7, No. 3, 339-367 (2005).

The authors study the Oseen equations of incompressible viscous fluids in a \(n\)-dimensional exterior domain. They obtain some estimate of solutions and prove a global in time stability theorem.

Reviewer: Valeriu Al. Sava (Iaşi)

MSC:

35Q35	PDEs in connection with fluid mechanics
76D07	Stokes and related (Oseen, etc.) flows
76M45	Asymptotic methods, singular perturbations applied to problems in fluid mechanics

Keywords:

stability; Oseen equations; incompressible viscous fluids