Global well-posedness of the 3D generalized Navier-Stokes equations with fractional partial dissipation
DOI10.1007/s10440-021-00388-4zbMath1473.35406OpenAlexW3128563814MaRDI QIDQ2040618
Publication date: 14 July 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-021-00388-4
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (1)
Cites Work
- Unnamed Item
- Global regularity for a class of generalized magnetohydrodynamic equations
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Generalized MHD equations.
- Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- On Kato-Ponce and fractional Leibniz
- Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
- Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components
- Vorticity and Incompressible Flow
- Partial regularity of suitable weak solutions of the navier-stokes equations
- The D incompressible Navier–Stokes equations with partial hyperdissipation
This page was built for publication: Global well-posedness of the 3D generalized Navier-Stokes equations with fractional partial dissipation
