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Some results on anisotropic mean curvature and other phase-transition problems

TitleSome results on anisotropic mean curvature and other phase-transition problems
Publication TypeThesis
Year of Publication2015
AuthorsAmato, S
UniversitySISSA
KeywordsAnisotropic mean curvature
Abstract

The present thesis is divided into three parts. In the first part, we analyze a
suitable regularization — which we call nonlinear multidomain model — of the
motion of a hypersurface under smooth anisotropic mean curvature flow. The
second part of the thesis deals with crystalline mean curvature of facets of a
solid set of R^3 . Finally, in the third part we study a phase-transition model for
Plateau’s type problems based on the theory of coverings and of BV functions.
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34733
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Mathematics
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MAT/05
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Submitted by Stefano Amato (samato@sissa.it) on 2015-09-21T12:36:18Z
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Research Group: 
Mathematical Analysis, Modelling, and Applications

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