Vortices, Liouville's equation and the Bergman kernel function

DOI10.1112/S0025579300010184zbMath0438.76020OpenAlexW2072464391MaRDI QIDQ3880450

Stanley Richardson

Publication date: 1980

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300010184

zbMATH Keywords

Bergman kernel functioninner radiuspoint vortexharmonic Green's functionLiouville'e equation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear elliptic equations (35J60)

Related Items (8)

On the convexity of a solution of Liouville's equation ⋮ Linearization of nonlinear differential equations by means of Cauchy’s integral ⋮ Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains ⋮ Notes on the limit equation of vortex motion for the Ginzburg-Landau equation with Neumann condition ⋮ Point vortex motion on the surface of a sphere with impenetrable boundaries ⋮ Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation ⋮ On steady vortex flow in two dimensions. I ⋮ Bäcklund generated solutions of Liouville’s equation and their graphical representations in three spatial dimensions

Cites Work

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• Ganze Lösungen der Differentialgleichung \(\Delta u=e^u\)
• A partial differential equation arising in conformal mapping
• On solutions of δu=f(u)
• On finite amplitude oscillations in laminar mixing layers
• Conformal Mapping of the Interior of an Ellipse onto a Circle
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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