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

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
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