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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Collection: | Progress in Mathematics
290 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
Table des matières:
- 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