On a family of results concerning direction of vorticity and regularity for the Navier-Stokes equations
From MaRDI portal
Publication:467155
DOI10.1007/s11565-014-0206-3zbMath1303.35053OpenAlexW2007730499MaRDI QIDQ467155
Publication date: 3 November 2014
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-014-0206-3
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)
Related Items (7)
On vortex alignment and the boundedness of the \(L^q\)-norm of vorticity in incompressible viscous fluids ⋮ Direction of vorticity and smoothness of viscous fluid flows subjected to boundary constraints ⋮ Regularity criteria for the Navier–Stokes equations in terms of the velocity direction and the flow of energy ⋮ Navier-Stokes equations: some questions related to the direction of the vorticity ⋮ Regularity condition of the incompressible Navier-Stokes equations in terms of one velocity component ⋮ Locally space-time anisotropic regularity criteria for the Navier-Stokes equations in terms of two vorticity components ⋮ A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On vorticity directions near singularities for the Navier-Stokes flows with infinite energy
- Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations
- Space-time localization of a class of geometric criteria for preventing blow-up in the 3D NSE
- Euler and Navier-Stokes equations
- Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity.
- On the regularity conditions for the Navier-Stokes and related equations
- On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity
- Localization and geometric depletion of vortex-stretching in the 3D NSE
- On the regularizing effect of the vorticity direction in incompressible viscous flows
- On depletion of the vortex-stretching term in the 3D Navier-Stokes equations
- A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)
- Coherent vortex structures and 3D enstrophy cascade
- Direction of vorticity and regularity up to the boundary: on the Lipschitz-continuous case
- Localization of analytic regularity criteria on the vorticity and balance between the vorticity magnitude and coherence of the vorticity direction in the 3D NSE
- Navier-Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary
- Vorticity and regularity for flows under the Navier boundary condition
- Vorticity and regularity for viscous incompressible flows under the Dirichlet boundary condition. Results and related open problems
- Geometric constrains for global regularity of 2D quasi-geostrophic flows
- Geometric depletion of vortex stretch in 3d viscous incompressible flow
- On Green's matrices for elliptic boundary value problems. I
- On Green's matrices for elliptic boundary value problems. II
- Vortex stretching and criticality for the three-dimensional Navier-Stokes equations
- Some geometric constraints and the problem of global regularity for the Navier–Stokes equations
- Vorticity dynamics and turbulence models for Large-Eddy Simulations
- Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE
- Geometric constraints on potentially
- On the Euler equations of incompressible fluids
- On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations
This page was built for publication: On a family of results concerning direction of vorticity and regularity for the Navier-Stokes equations
