Invariant two-dimensional structures of vorticity field in nonviscous fluid

DOI10.1063/1.858372zbMath0762.76012OpenAlexW2054521849MaRDI QIDQ4030809

Hudong Chen

Publication date: 1 April 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858372

zbMATH Keywords

generalized coordinatessinh-Poisson equationBoltzmann statisticsHamiltonian descriptionhelically invariant flowthree-dimensional nonviscous flows

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Applications of manifolds of mappings to the sciences (58D30)

Cites Work

• Hydrodynamics in two dimensions and vortex theory
• Invariant helical subspaces for the Navier-Stokes equations
• Exact solutions of a nonlinear boundary value problem: The vortices of the two-dimensional sinh-Poisson equation
• Decaying, two-dimensional, Navier-Stokes turbulence at very long times
• Statistical equilibrium states for two-dimensional flows
• Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation
• Statistical mechanics of two-dimensional vortices in a bounded container
• Non-Gaussian probability distributions for a vortex fluid
• Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
• The spatial structure and statistical properties of homogeneous turbulence