Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations: 12 (Publications of the Scuola Normale Superiore) - Tapa blanda

Bellettini, Giovanni

9788876424281: Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations: 12 (Publications of the Scuola Normale Superiore)

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ISBN 10: 8876424288 ISBN 13: 9788876424281

Editorial: Edizioni della Normale, 2014

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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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Editorial: Edizioni della Normale
A�o de publicaci�n: 2014
Idioma: Ingl�s
ISBN 10: 8876424288
ISBN 13: 9788876424281
Encuadernaci�n: Tapa blanda
N�mero de p�ginas: 348
Contacto del fabricante: no disponible
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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations

Giovanni Bellettini

Publicado por Scuola Normale Superiore Jan 2014, 2014

ISBN 10: 8876424288 ISBN 13: 9788876424281

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Taschenbuch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 348 pp. Englisch. N� de ref. del art�culo: 9788876424281

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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations

Giovanni Bellettini

Publicado por Scuola Normale Superiore, 2014

ISBN 10: 8876424288 ISBN 13: 9788876424281

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Taschenbuch. Condici�n: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N� de ref. del art�culo: 9788876424281

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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations

Giovanni Bellettini

Publicado por Scuola Normale Superiore, 2014

ISBN 10: 8876424288 ISBN 13: 9788876424281

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Elementary introduction to mean curvature flow, including the short time existence result, using the signed distance functionDetailed study of minimal barriers and their regularizations for mean curvature flowAn example of fatteningC. N� de ref. del art�culo: 160363252

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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations

Giovanni Bellettini

Publicado por Scuola Normale Superiore Jan 2014, 2014

ISBN 10: 8876424288 ISBN 13: 9788876424281

Nuevo Taschenbuch

Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Taschenbuch. Condici�n: Neu. Neuware -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.M�ller - lila Logistik, Am Buchberg 8, 74572 Blaufelden 348 pp. Englisch. N� de ref. del art�culo: 9788876424281

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