The Beltrami spectrum for incompressible fluid flows
From MaRDI portal
Publication:1119098
DOI10.1007/BF01218019zbMath0669.76049OpenAlexW2083068878MaRDI QIDQ1119098
Andrew J. Majda, Peter Constantin
Publication date: 1988
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01218019
Navier-Stokes equationsturbulent flowscoherent hierarchy of weakly interacting superimposed approximate Beltrami flowsuniversal Beltrami hierarchies
Related Items (38)
Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations ⋮ Some notes on periodic Beltrami fields in Cartesian geometry ⋮ Rod-packing arrangements of invariant tori in solenoidal vector fields with cubic symmetries ⋮ Effects of helicity on dissipation in homogeneous box turbulence ⋮ On the global regularity of a helical-decimated version of the 3D Navier-Stokes equations ⋮ Global wellposedness and large time behavior of solutions to the Hall-magnetohydrodynamics equations ⋮ On the evolution of nearly circular vortex patches ⋮ Dissipative continuous Euler flows ⋮ Structure of helicity and global solutions of incompressible Navier-Stokes equation ⋮ Contact structures and Beltrami fields on the torus and the sphere ⋮ New exact Betchov-like relation for the helicity flux in homogeneous turbulence ⋮ A class of global large, smooth solutions for the magnetohydrodynamics with Hall and ion‐slip effects ⋮ On Some Properties of the Curl Operator and Their Consequences for the Navier-Stokes System ⋮ A class of large solutions to the 3D incompressible MHD and Euler equations with damping ⋮ Numerical Computation of Helical Waves in a Finite Circular Cylinder using Chebyshev Spectral Method ⋮ Helically decomposed turbulence ⋮ Forcing-dependent dynamics and emergence of helicity in rotating turbulence ⋮ A new description of force-free magnetic fields ⋮ An integral equation-based numerical solver for Taylor states in toroidal geometries ⋮ Global Sobolev regular solution for Boussinesq system ⋮ Single-scale two-dimensional-three-component generalized-Beltrami-flow solutions of incompressible Navier-Stokes equations ⋮ On the geometric regularity conditions for the 3D Navier-Stokes equations ⋮ Hölder continuous periodic solution of Boussinesq equation with partial viscosity ⋮ Split energy–helicity cascades in three-dimensional homogeneous and isotropic turbulence ⋮ Ordered behaviour in force-free magnetic fields ⋮ Helical mode interactions and spectral transfer processes in magnetohydrodynamic turbulence ⋮ Tomographic reconstruction of the Beltrami fields ⋮ The nature of triad interactions in active turbulence ⋮ On the thermal equilibrium state of large-scale flows ⋮ A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation ⋮ On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case ⋮ Approximation of linear force-free fields in bounded 3-D domains. ⋮ Notes on the geometric regularity criterion of 3D Navier-Stokes system ⋮ A relaxation method for constructing a Beltrami flow in a bounded domain ⋮ Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations ⋮ A finite-element method for computing nonlinear force-free fields ⋮ Evolution of dissipative fluid flows with imposed helicity conservation ⋮ Beltrami fields with a nonconstant proportionality factor are rare
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The mixing layer: deterministic models of a turbulent flow. Part 2. The origin of the three-dimensional motion
- Vorticity and the mathematical theory of incompressible fluid flow
- Chaotic streamlines in the ABC flows
- Influence of helicity on the evolution of isotropic turbulence at high Reynolds number
- Helical turbulence and absolute equilibrium
This page was built for publication: The Beltrami spectrum for incompressible fluid flows