Band 12
Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations
Aus der Reihe
Lecture Notes (Scuola Normale Superiore)
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- Taschenbuch ausgewählt
- eBook
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Sprache:Englisch
Fr. 38.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
16.01.2014
Verlag
Edizioni della NormaleSeitenzahl
329
Maße (L/B/H)
23.5/15.5/1.9 cm
Gewicht
528 g
Auflage
1. Auflage
Sprache
Englisch
ISBN
978-88--7642428-1
The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use in the definition of suitable weak solutions. The anisotropic evolutions, which can be considered as a generalization of mean curvature flow, are studied from the view point of Finsler geometry. Concerning singular perturbations, we discuss the convergence of the Allen–Cahn (or Ginsburg–Landau) type equations to (possibly anisotropic) mean curvature flow before the onset of singularities in the limit problem. We study such kinds of asymptotic problems also in the static case, showing convergence to prescribed curvature-type problems.
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