Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component
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Publication:898879
DOI10.1016/j.jmaa.2015.11.037zbMath1333.35166OpenAlexW2216126970MaRDI QIDQ898879
Publication date: 21 December 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.037
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)
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Cites Work
- Unnamed Item
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- On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations
- Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
- Regularity criterion for 3D Navier-Stokes equations in Besov spaces
- An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component
- A note on the regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component
- The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component
- Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
- On regularity criteria for the \(n\)-dimensional Navier-Stokes equations in terms of the pressure
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component
- Remarks on regularity criteria for the Navier-Stokes equations via one velocity component
- A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component.
- A remark on the regularity criterion for the 3D Navier-Stokes equations involving the gradient of one velocity component
- Criteria for the regularity of the solutions to the Navier-Stokes equations based on the velocity gradient
- Two new regularity criteria for the Navier-Stokes equations via two entries of the velocity Hessian tensor
- A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
- On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
- Un teorema di unicita per le equazioni di Navier-Stokes
- Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).
- A new regularity criterion for weak solutions to the Navier-Stokes equations
- A note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
- Navier-Stokes equations with regularity in one direction
- On the regularity of the solutions of the Navier–Stokes equations via one velocity component
- On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
- Regularity criteria for the three-dimensional Navier-Stokes equations
- Partial regularity of suitable weak solutions of the navier-stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems
- One component regularity for the Navier–Stokes equations
- On regularity criteria in terms of pressure for the Navier-Stokes equations in ℝ³
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
