Peer-Reviewed Article June 26, 2017
Global Well-Posedness for Fractional Navier-Stokes Equations in critical Fourier-Besov-Morrey Spaces
Are you an author of this work?Link to your sovereign AfriScholar profile
Published in: Moroccan Journal of Pure and Applied Analysis
Publisher: Sidi Mohamed Ben Abdellah University • Morocco • 2351-8227 • 2605-6364
Abstract
Abstract In this paper we study the Cauchy problem of the Fractional Navier-Stokes equations in critical Fourier-Besov-Morrey spaces FṄs p, λ,q(ℝ3) with . By making use of the Fourier localization method and the Littlewood-Paley theory as in [6] and [21], we get global well-posedness result with small initial data belonging to . The space FṄs p,λ,q(ℝ3) covers the classical spaces Ḃs q and FḂs p,q(ℝ3) (cf [7],[3], [19], [22]...). The result of this paper extends the works of [6] and [21].