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
.
Most widely held works by
Tristan Rivière
Linear and nonlinear aspects of vortices : the GinzburgLandau model by
Frank Pacard(
Book
)
11 editions published in 2000 in English and held by 285 WorldCat member libraries worldwide
Equations of the GinzburgLandau 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 GinzburgLandau 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 GinzburgLandau 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 selfstudy resource
11 editions published in 2000 in English and held by 285 WorldCat member libraries worldwide
Equations of the GinzburgLandau 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 GinzburgLandau 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 GinzburgLandau 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 selfstudy 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
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
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
Local analysis of rectifiable and nonrectifiable calibrated cycles of dimension 2(
Book
)
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
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
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
Weak bundle structures and a variational approach to YangMills Lagrangians in supercritical dimensions(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
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
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
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 1216, 2010 by
Tristan Rivière(
Book
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
[Concert bill of Royal Italian Opera, Covent Garden, 1863, announcing Mellon's concerts, Idomeneo: overture, Le Prophete:
quadrille, Fantasia (violin), Merci jeunes amies (bolero), Nocturne, Symphony in F: allegretto, Mosaique air varie, William
Tell: overture, I puritani: selections, Sempre piu t'amo (polka), Amelie (waltz), Fantasia, bassoon, Swiss echo song, Solitude
(cornet solo), Abon Hassan: overture and New galop etc.](
Book
)
1 edition published in 1863 in English and held by 1 WorldCat member library worldwide
1 edition published in 1863 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
1 edition published in 2017 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Pacard, Frank 1965 Author
 De Lellis, Camillo Thesis advisor Author
 Sun, Song
 Brotbek, Damian Author
 Haiden, F.
 Breuillard, Emmanuel
 Gayet, Damien
 Beffara, Vincent 1981
 Hein, HansJoachim
 Bellettini, Costante
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