Littérature scientifique sur le sujet « Willmore functional »
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Articles de revues sur le sujet "Willmore functional"
Lamm, Tobias, Jan Metzger et Andre Neves. « Mini-Workshop : The Willmore Functional and the Willmore Conjecture ». Oberwolfach Reports 10, no 3 (2013) : 2119–53. http://dx.doi.org/10.4171/owr/2013/37.
Texte intégralZhu, Yanqi, Jin Liu et Guohua Wu. « Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere ». Scientific World Journal 2014 (2014) : 1–8. http://dx.doi.org/10.1155/2014/697132.
Texte intégralBernard, Yann. « Noether’s theorem and the Willmore functional ». Advances in Calculus of Variations 9, no 3 (1 juillet 2016) : 217–34. http://dx.doi.org/10.1515/acv-2014-0033.
Texte intégralChen, Jing-yi. « The Willmore functional of surfaces ». Applied Mathematics-A Journal of Chinese Universities 28, no 4 (décembre 2013) : 485–93. http://dx.doi.org/10.1007/s11766-013-3222-7.
Texte intégralKuwert, Ernst, et Reiner Schätzle. « Gradient flow for the Willmore functional ». Communications in Analysis and Geometry 10, no 2 (2002) : 307–39. http://dx.doi.org/10.4310/cag.2002.v10.n2.a4.
Texte intégralWANG, PENG. « ON THE WILLMORE FUNCTIONAL OF 2-TORI IN SOME PRODUCT RIEMANNIAN MANIFOLDS ». Glasgow Mathematical Journal 54, no 3 (30 mars 2012) : 517–28. http://dx.doi.org/10.1017/s0017089512000122.
Texte intégralSimon, Leon. « Existence of surfaces minimizing the Willmore functional ». Communications in Analysis and Geometry 1, no 2 (1993) : 281–326. http://dx.doi.org/10.4310/cag.1993.v1.n2.a4.
Texte intégralMondino, Andrea. « The Conformal Willmore Functional : A Perturbative Approach ». Journal of Geometric Analysis 23, no 2 (24 septembre 2011) : 764–811. http://dx.doi.org/10.1007/s12220-011-9263-3.
Texte intégralBurger, Martin, Shun-Yin Chu, Peter Markowich et Carola-Bibiane Schönlieb. « Cahn-Hilliard inpainting and the Willmore functional ». PAMM 7, no 1 (décembre 2007) : 1011209–10. http://dx.doi.org/10.1002/pamm.200700802.
Texte intégralLuo, Yong, et Guofang Wang. « On geometrically constrained variational problems of the Willmore functional I : The Lagrangian-Willmore problem ». Communications in Analysis and Geometry 23, no 1 (2015) : 191–223. http://dx.doi.org/10.4310/cag.2015.v23.n1.a6.
Texte intégralThèses sur le sujet "Willmore functional"
Mondino, Andrea. « The Willmore functional and other L^p curvature functionals in Riemannian manifolds ». Doctoral thesis, SISSA, 2011. http://hdl.handle.net/20.500.11767/4840.
Texte intégralNardi, Giacomo. « On a characterization of the relaxation of a generalized Willmore functional ». Paris 6, 2011. http://www.theses.fr/2011PA066539.
Texte intégralLink, Florian [Verfasser], et Ernst [Akademischer Betreuer] Kuwert. « Gradient flow for the Willmore Functional in Riemannian manifolds of bounded geometry = Gradientenfluss für das Willmore Funktional in Riemannschen Mannigfaltigkeiten beschränkter Geometrie ». Freiburg : Universität, 2013. http://d-nb.info/1123479488/34.
Texte intégralRizzi, Matteo. « Qualitative properties and construction of solutions to some semilinear elliptic PDEs ». Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4914.
Texte intégralDalphin, Jérémy. « Étude de fonctionnelles géométriques dépendant de la courbure par des méthodes d'optimisation de formes. Applications aux fonctionnelles de Willmore et Canham-Helfrich ». Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0167/document.
Texte intégralIn biology, when a large amount of phospholipids is inserted in aqueous media, they immediatly gather in pairs to form bilayers also called vesicles. In 1973, Helfrich suggested a simple model to characterize the shapes of vesicles. Imposing the area of the bilayer and the volume of fluid it contains, their shape is minimizing a free-Bending energy involving geometric quantities like curvature, and also a spontanuous curvature measuring the asymmetry between the two layers. Red blood cells are typical examples of vesicles on which is fixed a network of proteins playing the role of a skeleton inside the membrane. One of the main work of this thesis is to introduce and study a uniform ball condition, in particular to model the effects of the skeleton. First, we minimize the Helfrich energy without constraint then with an area constraint. The case of zero spontaneous curvature is known as the Willmore energy. Since the sphere is the global minimizer of the Willmore energy, it is a good candidate to be a minimizer of the Helfrich energy among surfaces of prescribed area. Our first main contribution in this thesis was to study its optimality. We show that apart from a specific interval of parameters, the sphere is no more a global minimizer, neither a local minimizer. However, it is always a critical point. Then, in the specific case of membranes with negative spontaneous curvature, one can wonder whether the minimization of the Helfrich energy with an area constraint can be done by minimizing individually each term. This leads us to minimize total mean curvature with prescribed area and to determine if the sphere is a solution to this problem. We show that it is the case in the class of axisymmetric axiconvex surfaces but that it does not hold true in the general case. Finally, considering both area and volume constraints, the minimizer cannot be the sphere, which is no more admissible. Using the shape optimization point of view, the third main and most important contribution of this thesis is to introduce a more reasonable class of surfaces, in which the existence of an enough regular minimizer is ensured for general functionals and constraints involving the first- and second-Order geometric properties of surfaces. Inspired by what Chenais did in 1975 when she considered the uniform cone property, we consider surfaces satisfying a uniform ball condition. We first study purely geometric functionals then we allow a dependence through the solution of some second-Order elliptic boundary value problems posed on the inner domain enclosed by the shape
Ting-Jung, Kuo. « The Willmore Functional ». 2006. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0016-0109200613403223.
Texte intégralKuo, Ting-Jung, et 郭庭榕. « The Willmore Functional ». Thesis, 2006. http://ndltd.ncl.edu.tw/handle/67660891200311540937.
Texte intégral國立清華大學
數學系
94
In this thesis, we consider the Willmore functional both on surfaces and general Riemannian manifolds. In surfaces case, we study some basic properties of Willmore functional, for example, the relation between conformal area, and the first eigenvalue..., ect. In general case, we calculate the Euler-Lagrange Equation for Willmore functional.
« On the existence of minimizers for the Willmore function ». 1998. http://library.cuhk.edu.hk/record=b5889661.
Texte intégralThesis (M.Phil.)--Chinese University of Hong Kong, 1998.
Includes bibliographical references (leaves 89-90).
Abstract also in Chinese.
Abstract --- p.iii
Acknowledgements --- p.iv
Chapter Chapter 1. --- Introduction --- p.1
Chapter 1.1. --- Main Idea --- p.5
Chapter 1.2. --- Organization --- p.8
Chapter Chapter 2. --- Geometric and Analytic Preliminaries --- p.9
Chapter 2.1. --- A Review on Measure Theory --- p.9
Chapter 2.2. --- Submanifolds in Rn --- p.11
Chapter 2.3. --- Several Results from PDEs --- p.17
Chapter 2.4. --- Biharmonic Comparison Lemma --- p.20
Chapter Chapter 3. --- Approximate Graphical Decomposition --- p.24
Chapter 3.1. --- Some Preliminaries --- p.24
Chapter 3.2. --- Approximate Graphical Decomposition --- p.30
Chapter Chapter 4. --- Existence & Regularity of Measure-theoretic Limits of Minimizing Sequence --- p.41
Chapter 4.1. --- Willmore Functional and Area --- p.41
Chapter 4.2. --- Existence of Measure-theoretic Limit of Minimizing Sequence --- p.45
Chapter 4.3. --- Higher Regularity at Good Points --- p.54
Chapter 4.4. --- Convergence in Hausdorff Distance Sense --- p.62
Chapter 4.5. --- Regularity near Bad Points --- p.64
Chapter Chapter 5. --- Existence of Genus 1 Minimizers in Rn --- p.83
References --- p.89
Chapitres de livres sur le sujet "Willmore functional"
Kuwert, Ernst, et Reiner Schätzle. « The Willmore functional ». Dans Topics in Modern Regularity Theory, 1–115. Pisa : Edizioni della Normale, 2012. http://dx.doi.org/10.1007/978-88-7642-427-4_1.
Texte intégralHayes, Niall, et Mike Chiasson. « A Research Agenda for Identity Work and E-Collaboration ». Dans E-Collaboration, 1218–24. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-652-5.ch092.
Texte intégralActes de conférences sur le sujet "Willmore functional"
BARROS, MANUEL. « CRITICAL POINTS OF WILLMORE-CHEN TENSION FUNCTIONALS ». Dans Proceedings of the International Conference held to honour the 60th Birthday of A M Naveira. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777751_0006.
Texte intégral