Resolvent Estimates of the Stokes Operator in Exterior Domains and Application

Select Volume / Issue:

• Volume 7,Issue 1,Jan.,2019

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

Full text: IJISM_696_FINAL.pdf [Bibtex]