Steady vortex flows obtained from an inverse problem

DOI10.1017/S0004972700040065zbMath1013.76010OpenAlexW2146480919MaRDI QIDQ4804616

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Publication date: 6 July 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700040065

zbMATH Keywords

existenceinverse problemrearrangementsstream functionsvortex flowssemilinear elliptic partial differential equationkinetic energy functional

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) Inverse problems for PDEs (35R30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

• Rearrangements of functions, maximization of convex functionals, and vortex rings
• On steady vortex flow in two dimensions. I
• On steady vortex flow in two dimensios, II
• Elliptic Partial Differential Equations of Second Order
• A constrained variational problem for steady vortices in a shear flow
• Existence of steady symmetric vortex pairs on a planar domain with an obstacle
• Steady vortex in a uniform shear flow of an ideal fluid
• Unnamed Item

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