Resolvent Estimates of the Stokes Operator in Exterior Domains and Application

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Year:
2019
Type of Publication:
Article
Keywords:
Resolvent Stokes, Operator Estimates Stokes, Equations Navier Stokes, Equations Weak, Solutions Time Decay
Authors:
Paul Tchoua; Benedict I. Ita
Journal:
IJISM
Volume:
7
Number:
1
Pages:
40-48
Month:
January
ISSN:
2347-9051
Abstract:
We consider an exterior domain Ω or smooth boundary. Our aim is to give some estimates to the resolvent of the stokes operator in exterior domains in the Lq norms. This estimates is then used to give estimate of the corresponding semi-group. We applied the preceding estimated to the nonstationary stokes initial boundary problem. A global estimate involving the velocity and the pressure is then obtained. Our method is based on the localization techniques and the Lemmas of Bogoski on the div and the problems

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