Y spaces and global smooth solution of fractional Navier-Stokes equations with initial value in the critical oscillation spaces

DOI10.1016/j.jde.2017.12.017zbMath1394.35334OpenAlexW2781682182MaRDI QIDQ683479

Haibo Yang, Qi-Xiang Yang

Publication date: 6 February 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.12.017

zbMATH Keywords

global solvabilityBesov-Morrey spacesTriebel-Lizorkin-Morrey spacesfractional Navier-Stokes equationsparameter Meyer wavelets

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)

Related Items (3)

Distribution of large value points via frequency and wellposedness of Navier-Stokes equations ⋮ Middle frequency band and remark on Koch–Tataru’s iteration space ⋮ Uniform analytic solutions for fractional Navier-Stokes equations

Cites Work

• The generalized incompressible Navier-Stokes equations in Besov spaces
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• Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• Morrey and Campanato meet Besov, Lizorkin and Triebel
• Wavelet characterization of Besov-Morrey and Triebel-Lizorkin-Morrey spaces
• Generalized MHD equations.
• Bilinear estimate on tent-type spaces with application to the well-posedness of fluid equations
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Well‐posedness for the incompressible magneto‐hydrodynamic system
• Regularity Criteria for the Generalized MHD Equations
• Well-posedness for the Navier-Stokes equations
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