Global well-posedness and long time decay of fractional Navier-Stokes equations in Fourier-Besov spaces

DOI10.1155/2014/463639zbMath1472.35273OpenAlexW2027437127WikidataQ59038454 ScholiaQ59038454MaRDI QIDQ1724176

Weiliang Xiao, Jiecheng Chen, Xuhuan Zhou, Fan, Dashan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/463639

zbMATH Keywords

fractional Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces ⋮ Well-posedness and blow-up of solutions for the 2D dissipative quasi-geostrophic equation in critical Fourier-Besov-Morrey spaces ⋮ Well-posedness and stability for the generalized incompressible magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces ⋮ Global large solutions to the Navier–Stokes–Nernst–Planck–Poisson equations in Fourier–Besov spaces ⋮ Algebra properties in Fourier-Besov spaces and their applications ⋮ Global well-posedness for the fractional Boussinesq-Coriolis system with stratification in a framework of Fourier-Besov type ⋮ Global well-posedness, Gevrey class regularity and large time asymptotics for the dissipative quasi-geostrophic equation in Fourier-Besov spaces

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