Conditional regularity of solutions of the three-dimensional Navier-Stokes equations and implications for intermittency

DOI10.1063/1.4742857zbMath1452.76047arXiv1108.4651OpenAlexW2072059094MaRDI QIDQ2872388

John D. Gibbon

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4651

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous vortex flows (76D17)

Related Items (4)

On the maximal space analyticity radius for the 3D Navier-Stokes equations and energy cascades ⋮ Bounds for Euler from vorticity moments and line divergence ⋮ Swirling, turbulent vortex rings formed from a chain reaction of reconnection events ⋮ Vorticity moments in four numerical simulations of the 3D Navier–Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological conjugacy between two kinds of nonlinear differential equations via generalized exponential dichotomy
• The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\)
• Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity.
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Spectral properties of solutions for nonlinear PDEs in the turbulent regime
• On local uniqueness of weak solutions of the Navier--Stokes system with bounded initial data.
• Sufficient conditions for the regularity to the 3D Navier-Stokes equations
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• Un teorema di unicita per le equazioni di Navier-Stokes
• Regularity and singularity in solutions of the three-dimensional Navier–Stokes equations
• Navier-Stokes equations with regularity in one direction
• Regularity criteria for the three-dimensional Navier-Stokes equations
• The 3D Navier-Stokes Problem
• On the fine-scale intermittency of turbulence
• New a priori estimates for navier-stokes equations in dimension 3
• A simple dynamical model of intermittent fully developed turbulence
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Energy dissipation in body-forced turbulence
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows
• One component regularity for the Navier–Stokes equations
• The multifractal nature of turbulent energy dissipation
• The nature of turbulent motion at large wave-numbers

This page was built for publication: Conditional regularity of solutions of the three-dimensional Navier-Stokes equations and implications for intermittency