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On the existence of
convex classical solutions to multilayer fluid problems in
arbitrary space dimensions
Andrew French Acker |
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Vol. 162 (1994), No. 2, 201–231
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Abstract |
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We study certain multilayer free-boundary problems, in which the layer interfaces constitute a nested family of convex closed surfaces, each characterized by a Bernoulli joining condition between the potentials in the neighboring layers. In this context, we develop convex variational methods based on a family of convexity-preserving free-boundary perturbation operators, and we apply these methods in the study of the existence of convex solutions. |
Mathematical Subject Classification 2000
Primary: 35R35
Secondary: 35Q35, 76B99, 76M30
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Milestones
Received: 20 February 1992
Published: 1 February 1994
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Authors |
| Andrew French Acker | |
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