Singularity structure in mean curvature flow of mean-convex sets.
Colding, Tobias H., Kleiner, Bruce (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “Anisotropic mean curvature on facets and relations with capillarity”
Singularity structure in mean curvature flow of mean-convex sets.
Counterexample to the convexity of level sets of solutions to the mean curvature equation
Xu-Jia Wang (2014)
Journal of the European Mathematical Society
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The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
A singular example for the averaged mean curvature flow.
Mayer, Uwe F. (2001)
Experimental Mathematics
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A survey on Inverse mean curvature flow in ROSSes
Giuseppe Pipoli (2017)
Complex Manifolds
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In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces. We show similarities and differences between the case considered, with particular attention to how the geometry of the ambient manifolds influences the behaviour of the evolution. Moreover we try, when possible, to give an unified approach to the results present in literature.
On Barbier's theorem
W. Cieslak, S. Gozdz (1990)
Matematički Vesnik
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Non-parametric convex hypersurfaces with a curvature restriction
Rolf Schneider (1983)
Annales Polonici Mathematici
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Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure
E. Ossanna (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Fattening on two dimensions obtained with a nonsymmetric anisotropy: Numerical simulations.
Paolini, M. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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A concentration Phenomenon in Mean curvature Flow.
Nobumitsu Nakauchi (1993)
Manuscripta mathematica
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Two examples of fattening for the curvature flow with a driving force
Giovanni Bellettini, Maurizio Paolini (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We provide two examples of a regular curve evolving by curvature with a forcing term, which degenerates in a set having an interior part after a finite time.
Ovaloids with prescribed curvature of the second fundamental form
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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