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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Signed distance from a smooth boundary.- Mean curvature vector and second fundamental form.- First variations of volume integrals and of the perimeter.- Smooth mean curvature flows.- Huisken’s monotonicity formula.- Inclusion principle. Local well posedness: the approach of Evans–Spruck.- Grayson’s example.- De Giorgi’s barriers.- Inner and outer regularizations.- An example of fattening.- Ilmanen’s interposition lemma.- The avoidance principle.- Comparison between barriers and a generalized evolution.- Barriers and level set evolution.- Parabolic singular perturbations: formal matched asymptotics, convergence and error estimate.
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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations
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Condizione: 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. Codice articolo 160363252
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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations
Editore:
Scuola Normale Superiore Jan 2014, 2014
ISBN 10: 8876424288
ISBN 13: 9788876424281
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9788876424281
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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations
Editore:
Scuola Normale Superiore Jan 2014, 2014
ISBN 10: 8876424288
ISBN 13: 9788876424281
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: 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.Müller - lila Logistik, Am Buchberg 8, 74572 Blaufelden 348 pp. Englisch. Codice articolo 9788876424281
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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations
Editore:
Scuola Normale Superiore, 2014
ISBN 10: 8876424288
ISBN 13: 9788876424281
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9788876424281
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Lecture Notes on Mean Curvature Flow
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Condizione: New. pp. 350. Codice articolo 2697012923
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Lecture Notes on Mean Curvature Flow
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Condizione: New. PRINT ON DEMAND pp. 350. Codice articolo 1897012913
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Lecture Notes on Mean Curvature Flow
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Condizione: New. Print on Demand pp. 350. Codice articolo 96465764
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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations
Da: Revaluation Books, Exeter, Regno Unito
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Paperback. Condizione: Brand New. 2014 edition. 350 pages. 9.50x6.25x1.00 inches. In Stock. Codice articolo zk8876424288
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Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations (Publications of the Scuola Normale Superiore)
Editore:
Edizioni della Normale, 2014
ISBN 10: 8876424288
ISBN 13: 9788876424281
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Paperback. Condizione: Like New. Like New. book. Codice articolo ERICA75888764242885
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