Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations
Bellettini, Giovanni
Produktnummer:
18e2a18fa54a5146a982a73343cf0327fa
Autor: | Bellettini, Giovanni |
---|---|
Themengebiete: | fattening mean curvature flow parabolic Allen-Cahn equation |
Veröffentlichungsdatum: | 16.01.2014 |
EAN: | 9788876424281 |
Sprache: | Englisch |
Seitenzahl: | 329 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Edizioni della Normale |
Produktinformationen "Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations"
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.

Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen