Partial regularity of solutions to the fractional Navier-Stokes equations

DOI10.3934/dcds.2016033zbMath1426.76087OpenAlexW2492619671MaRDI QIDQ321526

Yu Kang Chen, Chang-Hua Wei

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016033

zbMATH Keywords

partial regularityHausdorff measureNavier-Stokesfractional Laplaciansuitable weak solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Partially regular weak solutions to the fractional Navier–Stokes equations with the critical dissipation ⋮ On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in \(L^N(\mathbb{R}^N)^N\) ⋮ A note on energy equality for the fractional Navier-Stokes equations ⋮ Fundamental solutions of a class of homogeneous integro-differential elliptic equations ⋮ Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations ⋮ Extension problems related to the higher order fractional Laplacian ⋮ Fractional Navier–Stokes regularity criterion involving the positive part of the intermediate eigenvalue of the strain matrix

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