Localization and geometric depletion of vortex-stretching in the 3D NSE
From MaRDI portal
Publication:1048075
DOI10.1007/s00220-008-0726-8zbMath1184.35240OpenAlexW2038428232MaRDI QIDQ1048075
Publication date: 11 January 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-008-0726-8
Smoothness and regularity of solutions to PDEs (35B65) Vortex flows for incompressible inviscid fluids (76B47) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (27)
A regularity criterion for the 3D MHD equations in a local BMO space ⋮ REGULARITY OF WEAK SOLUTIONS FOR THE NAVIER–STOKES EQUATIONS IN THE CLASS L∞(BMO-1) ⋮ Enstrophy Cascade in Physical Scales for the Three-Dimensional Navier--Stokes Equations ⋮ 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 ⋮ Coherent vortex structures and 3D enstrophy cascade ⋮ Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows ⋮ Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient ⋮ Direction of vorticity and regularity up to the boundary: on the Lipschitz-continuous case ⋮ An extension and simpler proof of Berselli-Córdoba's geometric regularity condition for the Navier-Stokes system ⋮ An algebraic reduction of the 'scaling gap' in the Navier-Stokes regularity problem ⋮ Localization of analytic regularity criteria on the vorticity and balance between the vorticity magnitude and coherence of the vorticity direction in the 3D NSE ⋮ On the interior regularity criteria and the number of singular points to the Navier-Stokes equations ⋮ On a family of results concerning direction of vorticity and regularity for the Navier-Stokes equations ⋮ Navier-Stokes equations: some questions related to the direction of the vorticity ⋮ Balance of the vorticity direction and the vorticity magnitude in 3D fractional Navier-Stokes equations ⋮ Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations ⋮ Some interior regularity criteria involving two components for weak solutions to the 3D Navier-Stokes equations ⋮ A regularity criterion for the 3D NSE in a local version of the space of functions of bounded mean oscillations ⋮ On vorticity directions near singularities for the Navier-Stokes flows with infinite energy ⋮ Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions ⋮ Navier Stokes Equations: A Quick Reminder and a Few Remarks ⋮ Unnamed Item ⋮ Geometric regularity criteria for incompressible Navier-Stokes equations with Navier boundary conditions ⋮ Notes on the geometric regularity criterion of 3D Navier-Stokes system ⋮ Vortex stretching and criticality for the three-dimensional Navier-Stokes equations ⋮ A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity
Cites Work
- Unnamed Item
- Space-time localization of a class of geometric criteria for preventing blow-up 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
- Navier-Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary
- The study on solutions to Camassa-Holm equation with weak dissipation
- Vorticity and regularity for viscous incompressible flows under the Dirichlet boundary condition. Results and related open problems
- Geometric Statistics in Turbulence
- The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations
- Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE
This page was built for publication: Localization and geometric depletion of vortex-stretching in the 3D NSE