We consider liquid drops or crystals lying in equilibrium under the action of a potential energy. For small masses, the proximity of the resulting minimizers from the Wulff shape associated to the surface tension is quantitatively controlled in terms of the smallness of the mass and with respect to the natural notions of distance induced by the regularity of the Wulff shape. Stronger results are proved in the two-dimensional case. For instance, it is shown that a planar crystal undergoing the action of a small exterior force field remains convex, and admits only small translations parallel to its faces.

On the shape of liquid drops and crystals in the small mass regime / A. Figalli; F. Maggi. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 201:(2011), pp. 143-207. [10.1007/s00205-010-0383-x]

On the shape of liquid drops and crystals in the small mass regime

MAGGI, FRANCESCO
2011

Abstract

We consider liquid drops or crystals lying in equilibrium under the action of a potential energy. For small masses, the proximity of the resulting minimizers from the Wulff shape associated to the surface tension is quantitatively controlled in terms of the smallness of the mass and with respect to the natural notions of distance induced by the regularity of the Wulff shape. Stronger results are proved in the two-dimensional case. For instance, it is shown that a planar crystal undergoing the action of a small exterior force field remains convex, and admits only small translations parallel to its faces.
2011
201
143
207
A. Figalli; F. Maggi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/394213
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