Hydrodynamic coherence and vortex solutions of the Euler-Helmholtz equation

DOI10.1134/S0965542518030053zbMath1395.35066OpenAlexW2796642377MaRDI QIDQ722407

N. N. Fimin, V. M. Chechetkin

Publication date: 23 July 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518030053

zbMATH Keywords

conformal mappingGibbs measurevortex structuresJoyce-Montgomery equationstatistical integral

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Solutions to PDEs in closed form (35C05) Euler equations (35Q31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of positive radial solutions for nonlinear elliptic equations in annular domains
• The Liouville-Bratu-Gelfand problem for radial operators
• Desingularization of vortices for the Euler equation
• Time-asymptotics and the self-organization hypothesis for 2D Navier- Stokes equations
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Statistical mechanics of the \(N\)-point vortex system with random intensities on a bounded domain
• On variational principles for coherent vortex structures
• On steady laminar flow with closed streamlines at large Reynolds number
• Monopolar vortices as relative equilibria and their dissipative decay
• On the Asymptotic Solution of a Partial Differential Equation with an Exponential Nonlinearity
• Statistical mechanics of classical particles with logarithmic interactions
• Turbulence in fluids.

This page was built for publication: Hydrodynamic coherence and vortex solutions of the Euler-Helmholtz equation