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 descri...
Đã lưu trong:
| Tác giả chính: | |
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| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Pisa :
Scuola Normale Superiore
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2013. |
| Loạt: | Lecture Notes (Scuola Normale Superiore)
12 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lecture notes on mean curvature flow, barriers and singular perturbations, Giovanni Bellettini, 2013, Pisa, Edizioni della Normale, 1 vol. (XVIII-329 p.), Appunti |
| Tóm tắt: | 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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| Mô tả sách: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| số ISBN: | 9788876424298 |
| số ISSN: | 2946-2983 |
| Truy cập: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |