Existence of steady vortex rings in an ideal fluid

DOI10.1016/0893-9659(89)90018-9zbMath0709.35081OpenAlexW2061226163MaRDI QIDQ5899971

Michael Struwe, Antonio Ambrosetti

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90018-9

zbMATH Keywords

steady vortex rings

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)

Related Items (1)

Positive solutions for semilinear Dirichlet problems in an annulus

Cites Work

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• The uniqueness of Hill's spherical vortex
• The existence of surfaces of constant mean curvature with free boundaries
• On the existence of global vortex rings
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Finite-amplitude steady waves in stratified fluids
• A global theory of steady vortex rings in an ideal fluid
• Dual variational methods in critical point theory and applications
• A family of steady vortex rings
• Existence of steady vortex rings in an ideal fluid

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