Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation
From MaRDI portal
Publication:4957098
DOI10.1017/jfm.2021.285zbMath1469.76027arXiv2010.12486OpenAlexW3176514817MaRDI QIDQ4957098
Miles H. Wheeler, Adrian Constantin, Darren G. Crowdy, Vikas S. Krishnamurthy
Publication date: 3 September 2021
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.12486
Related Items (4)
Quantized point vortex equilibria in a one-way interaction model with a Liouville-type background vorticity on a curved torus ⋮ Liouville links and chains on the plane and associated stationary point vortex equilibria ⋮ Vortex pairs and dipoles on closed surfaces ⋮ The \(N\)-vortex problem in a doubly periodic rectangular domain with constant background vorticity
Cites Work
- Unnamed Item
- Unnamed Item
- Differential equations in the spectral parameter
- How do singularities move in potential flow?
- \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations
- On a class of polynomials connected with the Korteweg-de Vries equation
- General solutions to the 2D Liouville equation
- Dipole and multipole flows with point vortices and vortex sheets
- Stuart-type polar vortices on a rotating sphere
- Vortex structures with complex points singularities in two-dimensional Euler equations. New exact solutions
- Minimal polynomial systems for point vortex equilibria
- Generalized Adler-Moser and Loutsenko polynomials for point vortex equilibria
- Vortices and polynomials: non-uniqueness of the Adler–Moser polynomials for the Tkachenko equation
- Two-dimensional Euler flows with concentrated vorticities
- Relative equilibria of point vortices and the fundamental theorem of algebra
- Particle dynamics and mixing in a viscously decaying shear layer
- Vortices and polynomials
- Point vortex dynamics: A classical mathematics playground
- A class of exact multipolar vortices
- Polygonal N-vortex arrays: A Stuart model
- Point vortices with a rational necklace: New exact stationary solutions of the two-dimensional Euler equation
- Vortices and Polynomials
- Stationary Configurations of Point Vortices
- Vortices, Liouville's equation and the Bergman kernel function
- The structure of organized vortices in a free shear layer
- Dynamics of vorticity
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- A row of counter-rotating vortices
- Equilibrium of charges and differential equations solved by polynomials
- On steady compressible flows with compact vorticity; the compressible Stuart vortex
- Analytical solutions for rotating vortex arrays involving multiple vortex patches
- Exact solutions for rotating vortex arrays with finite-area cores
- Stuart vortices on a sphere
- Vortex crystals on the surface of a torus
- Axi‐symmetrization near Point Vortex Solutions for the <scp>2D</scp> Euler Equation
- Stuart vortices on a hyperbolic sphere
- A transformation between stationary point vortex equilibria
- Stuart-type vortices on a rotating sphere
- The effect of core size on the speed of compressible hollow vortex streets
- Steady point vortex pair in a field of Stuart-type vorticity
- Analytical solutions for von Kármán streets of hollow vortices
- Vortex Dynamics
- The Navier-Stokes Equations
- On Kelvin–Stuart vortices in a viscous fluid
- On finite amplitude oscillations in laminar mixing layers
- Point vortex motion on the surface of a sphere with impenetrable boundaries
- The \(N\)-vortex problem. Analytical techniques
- Convergence for a Liouville equation
This page was built for publication: Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation
