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...
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Pisa :
Scuola Normale Superiore
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2013. |
| Saila: | Lecture Notes (Scuola Normale Superiore)
12 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
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 |
Aurkibidea:
- 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