A monotone iteration for concentrated vortices

DOI10.1016/S0362-546X(99)00307-7zbMath1160.35490WikidataQ128122857 ScholiaQ128122857MaRDI QIDQ5935350

Kenneth G. Miller, Alan R. Elcrat

Publication date: 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Axisymmetric flowsIterative methodsNonlinear eigenvalue problemsVorticity

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Vortex flows for incompressible inviscid fluids (76B47) Theoretical approximation in context of PDEs (35A35)

Related Items (1)

Planar inviscid flows in a channel of finite length: washout, trapping and self-oscillations of vorticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nodal sets for solutions of elliptic equations
• The uniqueness of Hill's spherical vortex
• Nonlinear desingularization in certain free-boundary problems
• A global theory of steady vortex rings in an ideal fluid
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Uniqueness theorems for second order elliptic differential equations
• On steady vortex flow in two dimensions. I
• A semilinear elliptic eigenvalue problem, II. The plasma problem
• Steady planar vortex pairs in an ideal fluid
• Equilibrium vortex configurations in domains with boundary
• An elliptic boundary-value problem with a discontinuous nonlinearity
• Rearrangements in steady multiple vortex flows
• Existence of steady vortex rings in an ideal fluid

This page was built for publication: A monotone iteration for concentrated vortices