Vortex arrays for sinh-Poisson equation of two-dimensional fluids: Equilibria and stability
From MaRDI portal
Publication:3554605
DOI10.1063/1.1772331zbMath1187.76196OpenAlexW2038835740WikidataQ61675366 ScholiaQ61675366MaRDI QIDQ3554605
No author found.
Publication date: 22 April 2010
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10722/43069
Related Items (16)
Statistical Mechanics of Quasi-geostrophic Vortices ⋮ Axis-symmetric Onsager clustered states of point vortices in a bounded domain ⋮ Periodic solutions for a second-order partial difference equation ⋮ A nonlinear differential equation related to the Jacobi elliptic functions ⋮ Analytic reconstruction of a two-dimensional velocity field from an observed diffusive scalar ⋮ Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation ⋮ Analysis of the Kolmogorov model with an asymptotic-preserving method ⋮ Exact solution to a Liouville equation with Stuart vortex distribution on the surface of a torus ⋮ Linear stability of a doubly periodic array of vortices to three-dimensional perturbations ⋮ Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs ⋮ Vortex structures with complex points singularities in two-dimensional Euler equations. New exact solutions ⋮ Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions ⋮ Construction of nodal bubbling solutions for the weighted sinh-Poisson equation ⋮ Statistical measures and selective decay principle for generalized Euler dynamics: formulation and application to the formation of strong fronts ⋮ Morse Index of Multiple Blow-up Solutions to the Two-Dimensional Sinh-Poisson Equation ⋮ A parameterized multi-step Newton method for solving systems of nonlinear equations
Cites Work
- Unnamed Item
- Unnamed Item
- A class of doubly periodic waves for nonlinear evolution equations
- Alternative statistical-mechanical descriptions of decaying two-dimensional turbulence in terms of “patches” and “points”
- Another exact solution for two-dimensional, inviscid sinh Poisson vortex arrays
- Double-periodic arrays of vortices
- Three-dimensional stability of periodic arrays of counter-rotating vortices
- Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation
- A row of counter-rotating vortices
- Stability of periodic arrays of vortices
- Solitons in (2 + 0) dimensions and their applications in vortex dynamics
- On long-lived vortices in 2-D viscous flows, most probable states of inviscid 2-D flows and a soliton equation
- Nonlinear stability of counter-rotating vortices
- Inviscid two dimensional vortex dynamics and a soliton expansion of the sinh-Poisson equation
This page was built for publication: Vortex arrays for sinh-Poisson equation of two-dimensional fluids: Equilibria and stability
