Direction of vorticity and smoothness of viscous fluid flows subjected to boundary constraints

DOI10.1007/s10440-014-9891-2zbMath1305.35006OpenAlexW2127034078WikidataQ125889782 ScholiaQ125889782MaRDI QIDQ404807

Publication date: 4 September 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9891-2

zbMATH Keywords

regularity Navier-Stokes equations slip boundary conditions direction of vorticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (1)

On vortex alignment and the boundedness of the \(L^q\)-norm of vorticity in incompressible viscous fluids

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On a family of results concerning direction of vorticity and regularity for the Navier-Stokes equations
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
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

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