In this paper, we study the Navier-Stokes equations with Navier boundary conditions in a bounded domain of R-3. We prove the existence ofweak solution in W-1,W-p(Omega) x L-p(Omega) for 3/2 < p < infinity by using fixed point theorem for the case 3/2 < p < 2. Copyright (C) 2015 John Wiley & Sons, Ltd.
机构:
Univ Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat PAU, F-64013 Pau, FranceUniv Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat PAU, F-64013 Pau, France
Amrouche, Cherif
Rejaiba, Ahmed
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Univ Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat PAU, F-64013 Pau, FranceUniv Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat PAU, F-64013 Pau, France