WorldCat Identities

Rivière, Tristan 1967-

Overview
Works: 11 works in 22 publications in 2 languages and 299 library holdings
Genres: History 
Roles: Thesis advisor, dgs, Composer, 958, Author
Publication Timeline
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Most widely held works by Tristan Rivière
Linear and nonlinear aspects of vortices : the Ginzburg-Landau model by Frank Pacard( Book )

11 editions published in 2000 in English and held by 285 WorldCat member libraries worldwide

Equations of the Ginzburg-Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes Ginzburg-Landau vortices with a particular emphasis on the uniqueness question. The authors begin with a general presentation of the theory and then proceed to study problems using weighted Hölder spaces and Sobolev Spaces. These are particularly powerful tools and help us obtain a deeper understanding of the nonlinear partial differential equations associated with Ginzburg-Landau vortices. Such an approach sheds new light on the links between the geometry of vortices and the number of solutions. Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful in a number of contexts in the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and will serve as an excellent classroom text or a valuable self-study resource
On the hyperbolicity of general hypersurfaces by Damian Brotbek( Book )

1 edition published in 2017 in English and held by 3 WorldCat member libraries worldwide

Concentration estimates for entropy measures by Camillo De Lellis( Book )

1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide

Local analysis of rectifiable and non-rectifiable calibrated cycles of dimension 2( Book )

1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide

Bubbling phenomena for prescribed curvature problems in conformal geometry by Luca Galimberti( Book )

1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide

Weak bundle structures and a variational approach to Yang-Mills Lagrangians in supercritical dimensions( Book )

1 edition published in 2013 in English and held by 1 WorldCat member library worldwide

Géométrie des défauts, interfaces et lieux d'explosion en physique mathématique( Visual )

2 editions published in 2003 in Undetermined and French and held by 1 WorldCat member library worldwide

Bornes sur des valeurs propres et métriques extrémales by Romain Petrides( )

1 edition published in 2015 in French and held by 1 WorldCat member library worldwide

This thesis is devoted to the study of the Laplace eigenvalues and the Steklov eigenvalues on Riemannian manifolds. We look for optimal bounds among the set of metrics, lying in a conformal class or not. We also characterize, if they exist the metrics which reach these bounds. These extremal metrics have properties from the theory of minimal surfaces. First, we are interested in the upper bound of Laplace eigenvalues in a class of conformal metrics, called the conformal eigenvalues. In Chapter 1, we estimate the second conformal eigenvalue of the standard sphere. In Chapters 2 and 3, we prove that the first conformal eigenvalue of a Riemannian manifold is greater than the one of the standard sphere of same dimension, with equality only for the standard sphere. Then, we look for existence and regularity results for metrics which maximize eigenvalues on surfaces, in a given conformal class or not. In Chapters 3 and 4, we prove an existence result for Laplace eigenvalues. In Chapter 6, the work is done for Steklov eigenvalues. Finally, in Chapter 5, obtained in collaboration with Paul Laurain, we prove a regularity and quantification result for harmonic maps with free boundary on a Riemannian surface. It is a key component for Chapter 6
Integrability by compensation in the analysis of conformally invariant problems : 16 School of Differential Geometry, University of São Paulo, July 12-16, 2010 by Tristan Rivière( Book )

1 edition published in 2010 in English and held by 1 WorldCat member library worldwide

Horizontal [alpha]-Harmonic Maps by Francesca Da Lio( Book )

1 edition published in 2017 in English and held by 0 WorldCat member libraries worldwide

 
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Linear and nonlinear aspects of vortices : the Ginzburg-Landau model
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Alternative Names
Rivière, T.

Tristan Rivière Frans wiskundige

Tristan Rivière französischer Mathematiker

Tristan Rivière French mathematician

Tristan Rivière matemático francés

Languages
English (19)

French (2)