## 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

### Keywords:

stability; Oseen equations; incompressible viscous fluids
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