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.
|Autori interni:||Amato, Stefano|
|Titolo:||Some results on anisotropic mean curvature and other phase transition models|
|Relatore/i interni:||Bellettini, Giovanni|
|Data di pubblicazione:||25-set-2015|
|Appare nelle tipologie:||8.1 PhD thesis|