The anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity component

DOI10.1016/j.nonrwa.2020.103094zbMath1437.35546OpenAlexW3004139783MaRDI QIDQ1987392

Chenyin Qian

Publication date: 15 April 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103094

zbMATH Keywords

Navier-Stokes equationsLeray-Hopf weak solutionanisotropic regularity criterion

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Related Items (5)

Regularity criterion for 3D generalized Newtonian fluids in BMO ⋮ Regularity criterion for 3D shear-thinning fluids via one component of velocity ⋮ Anisotropic Prodi-Serrin regularity criteria for the 3D Navier-Stokes equations involving the gradient of one velocity component ⋮ On regularity criteria for the Navier-Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient ⋮ An optimal regularity criterion for 3D Navier-Stokes equations involving the gradient of one velocity component

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on the global regularity for the 3D Navier-Stokes equations
• An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component
• Regularity criteria for the Navier-Stokes equations based on one component of velocity
• Anisotropic regularity conditions for the suitable weak solutions to the 3D Navier-Stokes equations
• On the critical one component regularity for 3-D Navier-Stokes system: general case
• Regularity of 3D axisymmetric Navier-Stokes equations
• Regularity of the 3D Navier-Stokes equations with viewpoint of 2D flow
• 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
• Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
• A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component
• Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component
• Anisotropic Gagliardo-Nirenberg inequality with fractional derivatives
• On the 3D Navier-Stokes equations with regularity in pressure
• The regularity criterion for the 3D Navier-Stokes equations involving end-point Prodi-Serrin type conditions
• On the Navier-Stokes equations in scaling-invariant spaces in any dimension
• Components reduction regularity results for the Navier-Stokes equations in general dimensions
• 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
• Criteria for the regularity of the solutions to the Navier-Stokes equations based on the velocity gradient
• A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
• An anisotropic partial regularity criterion for the Navier-Stokes equations
• Sufficient conditions for the regularity to the 3D Navier-Stokes equations
• Regularity criteria for the Navier-Stokes equations based on one or two items of the velocity gradient
• 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
• A new regularity criterion for weak solutions to the Navier-Stokes equations
• A refined regularity criterion for the Navier-Stokes equations involving one non-diagonal entry of the velocity gradient
• On the critical one component regularity for 3-D Navier-Stokes system
• On the regularity criterion for the Navier–Stokes equations in terms of one directional derivative
• The application of anisotropic Troisi inequalities to the conditional regularity for the Navier–Stokes equations
• 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
• One component regularity for the Navier–Stokes equations
• MULTIPLIERS OF FOURIER INTEGRALS AND BOUNDS OF CONVOLUTION IN SPACES WITH MIXED NORMS. APPLICATIONS
• A regularity criterion for the Navier-Stokes equations based on the gradient of one velocity component

This page was built for publication: The anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity component