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Relevant bibliographies by topics / Delaunay Ends

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Academic literature on the topic 'Delaunay Ends'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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Journal articles on the topic "Delaunay Ends"

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Kilian, M., W. Rossman, and N. Schmitt. "Delaunay ends of constant mean curvature surfaces." Compositio Mathematica 144, no. 1 (2008): 186–220. http://dx.doi.org/10.1112/s0010437x07003119.

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AbstractThe generalized Weierstrass representation is used to analyze the asymptotic behavior of a constant mean curvature surface that arises locally from an ordinary differential equation (ODE) with a regular singularity. We prove that a holomorphic perturbation of an ODE that represents a Delaunay surface generates a constant mean curvature surface which has a properly immersed end that is asymptotically Delaunay. Furthermore, that end is embedded if the Delaunay surface is unduloidal.

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2

Mazzeo, Rafe, and Frank Pacard. "Constant mean curvature surfaces with Delaunay ends." Communications in Analysis and Geometry 9, no. 1 (2001): 169–237. http://dx.doi.org/10.4310/cag.2001.v9.n1.a6.

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Raujouan, Thomas. "On Delaunay ends in the DPW method." Indiana University Mathematics Journal 69, no. 7 (2020): 2365–93. http://dx.doi.org/10.1512/iumj.2020.69.8123.

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Mazzieri, Lorenzo, та Antonio Segatti. "Constant σk-curvature metrics with Delaunay type ends". Advances in Mathematics 229, № 6 (2012): 3147–91. http://dx.doi.org/10.1016/j.aim.2012.02.007.

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Traizet, Martin. "Construction of constant mean curvature n-noids using the DPW method." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 763 (2020): 223–49. http://dx.doi.org/10.1515/crelle-2018-0031.

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Santos, Almir Silva. "A Construction of Constant Scalar Curvature Manifolds with Delaunay-type Ends." Annales Henri Poincaré 10, no. 8 (2010): 1487–535. http://dx.doi.org/10.1007/s00023-010-0024-9.

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Traizet, Martin. "Gluing Delaunay ends to minimal n-noids using the DPW method." Mathematische Annalen 377, no. 3-4 (2020): 1481–508. http://dx.doi.org/10.1007/s00208-020-02002-8.

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Dissertations / Theses on the topic "Delaunay Ends"

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Santos, Almir Rogério Silva. "A construction of constant scalar curvature manifolds with delaunay-type ends." reponame:Repositório Institucional da UFS, 2009. https://ri.ufs.br/handle/riufs/825.

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Foi provado por Byde que é possível adicionar um fim do tipo Delaunay a uma variedade compacta não degenerada de curvatura escalar constante positiva; desde que ela seja localmente conformemente plana em alguma vizinhança do ponto de colagem. A variedade resultante é não-compacta e possui a mesma curvatura escalar constante. O principal objetivo desta tese é generalizar este resultado. Construiremos uma família a um parâmetro de soluções para o problema de Yamabe singular positivo em qualquer variedade compacta não degenerada cujo tensor de Weyl anula-se até uma ordem suficientemente grande no ponto singular. Se a dimensão da variedade é no máximo 5; nenhuma condição sobre o tensor de Weyl é necessária. Usaremos técnicas de pertubação e o método de colagem. _________________________________________________________________________________________ ABSTRACT: It has been showed by Byde [5] that it is possible to attach a Delaunay type end to a compact nondegenerate manifold of positive constant scalar curvature, provided it is locally conformally flat in a neighborhood of the attaching point. The resulting manifold is noncompact with the same constant scalar curvature. The main goal of this thesis is to generalize this result. We will construct a one-parameter family of solutions to the positive singular Yamabe problem for any compact non-degenerate manifold with Weyl tensor vanishing to suciently high order at the singular point. If the dimension is at most 5, no condition on the Weyl tensor is needed. We will use perturbation techniques and gluing methods.

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Raujouan, Thomas. "Surfaces à courbure moyenne constante dans les espaces euclidien et hyperbolique." Thesis, Tours, 2019. http://www.theses.fr/2019TOUR4011.

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Les surfaces à courbure moyenne constante non-nulle apparaissent en physique comme solutions à certains problèmes d'interface entre deux milieux de pressions différentes. Elles sont décrites mathématiquement par des équations aux dérivées partielles et sont constructibles à partir de données holomorphes via une représentation similaire à celle de Weierstrass pour les surfaces minimales. On présente dans cette thèse deux résultats s'appuyantsur cette représentation, dite <>.Le premier indique que les données donnant naissance à un bout Delaunay de type onduloïde induisent encore un anneau plongé après perturbation.Cette propriété sert notamment à démontrer que certaines surfaces construites par la méthode DPW sont plongées. Le second résultat est la construction, dans l'espace hyperbolique, de n-noïdes : surfaces plongées, de genre zéro, à courbure moyenne constante et munies de n bouts de type Delaunay<br>Non-zero constant mean curvature surfaces are mathematical models for physical interface problems with non-zero pressure difference. They are described by partial differential equations and can be constructed from holomorphic data via a Weierstrass-type representation, called "the DPW method". In this thesis, we use the DPW method and prove two main results. The first one states that perturbations of the DPW data for Delaunay unduloidal ends generate embedded annuli. This can be used to prove the embeddedness of surfaces constructed via the DPW method. The second result is the construction of n-noids in Hyperbolic space: genus 0, embedded, constant mean curvature surfaces with n Delaunay ends

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Conference papers on the topic "Delaunay Ends"

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Choo, Benjamin M. F., and Mehrdad Zangeneh. "Development of an (Adaptive) Unstructured 2-D Inverse Design Method for Turbomachinery Blades." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30620.

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An aerodynamics inverse design method for turbomachinery blades using fully (adaptive) unstructured meshes is presented. In this design method, the pressure loading (i.e. pressure jump across the blades) and thickness distribution are prescribed. The design method then computes the blade shape that would accomplish this loading. This inverse design method is implemented using a cell-centred finite volume method which solves the Euler equations on Delaunay unstructured triangular meshes using upwind flux vector splitting scheme. The analysis/direct Euler solver first is validated against some test cases of cascades flow. Computational grid and solution adaptation is performed to capture any flow behaviors such as shock waves using some error indicators. In the inverse design method, blade geometry is updated at the end of each design iteration process. A flexible and fast remeshing process based on a classical ‘spring’ methodology is adopted. An improved spring smoothing methodology for large changes of blades geometry is also presented. This flexible remeshing method can be used in designing a real blade (i.e. round leading and trailing edge) and also ‘fat’ turbine blades with blunt leading and trailing edge. The inverse design method using unstructured triangular meshes is validated by regeneration of a generic compressor rotor blade geometry subjected to a specified pressure loading and blade thickness. Finally, the method is applied to the design of the tip section of Nasa Rotor 67. The result shows that the design method is very useful in controlling shock waves.

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