Global vortex rings and asymptotic behaviour

DOI10.1016/0362-546X(93)E0018-XzbMath0845.76017MaRDI QIDQ4863531

Jianfu Yang

Publication date: 7 March 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existence theoremconstrained variational problemdirect variational methodsteady axisymmetric vortex ringsprecompact minimizing sequencesvortex-strength parameter

Mathematics Subject Classification ID

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

Related Items (9)

Vortex patch problem for steady lake equation ⋮ Remarks on orbital stability of steady vortex rings ⋮ Multiple solutions for a free boundary problem arising in plasma physics ⋮ Asymptotic behaviour of global vortex rings ⋮ Multiple solutions for an elliptic problem related to vortex pairs ⋮ Desingularization of vortex rings in 3 dimensional Euler flows ⋮ Regularization of point vortices pairs for the Euler equation in dimension two ⋮ Desingularization of vortices for the Euler equation ⋮ Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Asymptotic behaviour in planar vortex theory
• The uniqueness of Hill's spherical vortex
• Nonlinear desingularization in certain free-boundary problems
• On the existence of global vortex rings
• Symétrie et compacité dans les espaces de Sobolev
• Existence of solitary waves in higher dimensions
• A global theory of steady vortex rings in an ideal fluid
• On steady vortex flow in two dimensios, II
• Vortex Rings: Existence and Asymptotic Estimates
• EXISTENCE AND ASYMPTOTIC BEHAVIOR IN PLANAR VORTEX THEORY
• Existence of steady vortex rings in an ideal fluid
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