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On the existence of convex classical solutions to a generalized Prandtl-Batchelor free boundary problem

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Publication:1379500
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DOI10.1007/s000330050080zbMath0903.35093OpenAlexW4245614649MaRDI QIDQ1379500

Andrew Acker

Publication date: 11 January 1999

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000330050080


zbMATH Keywords

regularityexistencevorticityinterface conditionPrandtl-Batchelor problem


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Free boundary problems for PDEs (35R35)


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On a two-phase free boundary problem ruled by the infinity Laplacian ⋮ Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds ⋮ An elliptic problem of the Prandtl-Batchelor type with a singularity ⋮ A local parabolic monotonicity formula on Riemannian manifolds ⋮ Some free boundary problems recast as nonlocal parabolic equations ⋮ On a class of elliptic free boundary problems with multiple solutions



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