Some strange properties of minimal surfaces in connection with Plateau's problem

Some strange properties of minimal surfaces in connection with Plateau's problem

In this paper we shall prove the existence of some minimal surfaces passing through enough smooth curves, surfaces which satisfy some given boundary conditions. We shall point out a strange property of ‘cutting’ of these surfaces, at least for large classes of curves and boundary conditions. The the...

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Veröffentlicht in:Computer methods in applied mechanics and engineering 1997, Vol.141 (3), p.311-333
Hauptverfasser: Visarion, Viorel, Baubec, Margarit
Format: Artikel
Sprache:eng
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Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Other topics in continuum mechanics of solids
Other topics in solid mechanics
Physics
Solid mechanics
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creator Visarion, Viorel
Baubec, Margarit
description In this paper we shall prove the existence of some minimal surfaces passing through enough smooth curves, surfaces which satisfy some given boundary conditions. We shall point out a strange property of ‘cutting’ of these surfaces, at least for large classes of curves and boundary conditions. The theoretical results will be completed, on the one hand, by a graphical study, to construct and to see the surfaces, and on the other hand, by a numerical study, to obtain the geometry of the cuts.
doi_str_mv 10.1016/S0045-7825(96)01118-8
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subjects Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Other topics in continuum mechanics of solids
Other topics in solid mechanics
Physics
Solid mechanics
title Some strange properties of minimal surfaces in connection with Plateau's problem
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