Prime Meridian by Srimali Dutt

Prime Meridian by Srimali Dutt

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.

SKU	Nicht verfügbar
ISBN 13	9780971205604
ISBN 10	0971205604
Titel	Prime Meridian
Autor	Srimali Dutt
Buchzustand	Nicht verfügbar
Verlag	Lamar School Foundation
Erscheinungsjahr	2001-01-01
Seitenanzahl	294
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.