Liouville links and chains on the plane and associated stationary point vortex equilibria

DOI10.3934/cpaa.2022076zbMath1490.76057OpenAlexW4226375074MaRDI QIDQ2147898

Vikas S. Krishnamurthy

Publication date: 20 June 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022076

zbMATH Keywords

vorticityEuler equationexact solutionsLiouville equationpoint vortexAdler-Moser polynomials

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)

Cites Work

• On a class of polynomials connected with the Korteweg-de Vries equation
• General solutions to the 2D Liouville equation
• Stuart-type vortices modeling the antarctic circumpolar current
• Stuart-type polar vortices on a rotating sphere
• On the modelling of large-scale atmospheric flow
• Polygonal N-vortex arrays: A Stuart model
• Point vortices with a rational necklace: New exact stationary solutions of the two-dimensional Euler equation
• Equilibrium of charges and differential equations solved by polynomials
• Stuart vortices on a sphere
• Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation
• A transformation between stationary point vortex equilibria
• Stuart-type vortices on a rotating sphere
• Steady point vortex pair in a field of Stuart-type vorticity
• On finite amplitude oscillations in laminar mixing layers
• The \(N\)-vortex problem. Analytical techniques

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