Lecture notes on mean curvature flow
This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a...
Spremljeno u:
| Glavni autor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Serija: | Progress in Mathematics
290 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Description d'après consultation du 26 février 2013 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, Carlo Mantegazza, 2011, Basel, Birkhäuser, 1 vol. (XII-166 p.), Progress in mathematics, 978-3-03-480144-7 |
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| 009 | PPN156317044 | ||
| 020 | |a 9783034801454 | ||
| 020 | |a 9783034801454 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 084 | |a 53C44. 2010 | ||
| 084 | |a 35-02. 2010 | ||
| 084 | |a 35K55. 2010 | ||
| 100 | 1 | |a Mantegazza, Carlo, |d 1970-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Lecture notes on mean curvature flow |c by Carlo Mantegazza. |
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 290 | |
| 500 | |a Description d'après consultation du 26 février 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Foreword Chapter 1. Definition and Short Time Existence Chapter 2. Evolution of Geometric Quantities Chapter 3. Monotonicity Formula and Type I Singularities Chapter 4. Type II Singularities Chapter 5. Conclusions and Research Directions Appendix A. Quasilinear Parabolic Equations on Manifolds Appendix B. Interior Estimates of Ecker and Huisken Appendix C. Hamilton s Maximum Principle for Tensors Appendix D. Hamilton s Matrix Li Yau Harnack Inequality in Rn Appendix E. Abresch and Langer Classification of Homothetically Shrinking Closed Curves Appendix F. Important Results without Proof in the Book Bibliography Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach (mainly developed by R. Hamilton and G. Huisken). They are well suited for a course at PhD/PostDoc level and can be useful for any researcher interested in a solid introduction to the technical issues of the field. All the proofs are carefully written, often simplified, and contain several comments. Moreover, the author revisited and organized a large amount of material scattered around in literature in the last 25 years | ||
| 650 | |a Flots (dynamique différentiable) | ||
| 650 | |a Géométrie différentielle globale | ||
| 650 | |a Courbure | ||
| 776 | 0 | |0 154867381 |t Lecture notes on mean curvature flow |f Carlo Mantegazza |d 2011 |c Basel |n Birkhäuser |p 1 vol. (XII-166 p.) |s Progress in mathematics |z 978-3-03-480144-7 | |
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| 856 | 4 | |5 452349901:750611294 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-0348-0145-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753970481 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-0348-0145-4 |z Accès INSA CVL | |
| 997 | |0 973549 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||