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Documents  Serfaty, Sylvia | enregistrements trouvés : 5

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Outreach;Mathematics Education and Popularization of Mathematics

Sylvia Serfaty is a Professor at the Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie Paris 6. Sylvia Serfaty was a Global Distinguished Professor of Mathematics in the Courant Institute of Mathematical Sciences. She has been awarded a Sloan Foundation Research Fellowship and a NSF CAREER award (2003), the 2004 European Mathematical Society Prize, 2007 EURYI (European Young Investigator) award, and has been invited speaker at the International Congress of Mathematicians (2006), Plenary speaker at the European Congress of Mathematics (2012) and has recently received the IAMP Henri Poincar´e prize in 2012. Her research is focused on the study of Nonlinear Partial Differential Equations, calculus of variations and mathematical physics, in particular the Ginzburg-Landau superconductivity model. Sylvia Serfaty was the first to make a systematic and impressive asymptotic analysis for the case of large parameters in theory of the Ginzburg-Landau equation. She established precisely, with Etienne Sandier, the values of the first critical fields for nucleation of vortices in superconductors, as well as the leading and next to leading order effective energies that govern the location of these vortices and their arrangement in Abrikosov lattices In micromagnetics, her work with F. Alouges and T. Rivière breaks new ground on singularly perturbed variational problems and provides the first explanation for the internal structure of cross-tie walls.
http://www.ams.org/journals/notices/200409/people.pdf
Personal page : http://www.ann.jussieu.fr/~serfaty/
Sylvia Serfaty is a Professor at the Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie Paris 6. Sylvia Serfaty was a Global Distinguished Professor of Mathematics in the Courant Institute of Mathematical Sciences. She has been awarded a Sloan Foundation Research Fellowship and a NSF CAREER award (2003), the 2004 European Mathematical Society Prize, 2007 EURYI (European Young Investigator) award, and has been invited speaker at ...

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Research talks;Partial Differential Equations;Mathematical Physics

Ginzburg-Landau type equations are models for superconductivity, superfluidity, Bose-Einstein condensation, etc. A crucial feature is the presence of quantized vortices, which are topological zeroes of the complex-valued solutions. We will present a new result on the derivation of a mean-field limit equation for the dynamics of many vortices starting from the parabolic Ginzburg-Landau equation or the Gross-Pitaevskii (=Schrodinger Ginzburg-Landau) equation. Ginzburg-Landau type equations are models for superconductivity, superfluidity, Bose-Einstein condensation, etc. A crucial feature is the presence of quantized vortices, which are topological zeroes of the complex-valued solutions. We will present a new result on the derivation of a mean-field limit equation for the dynamics of many vortices starting from the parabolic Ginzburg-Landau equation or the Gross-Pitaevskii (=Schrodinger Ginzb...

35Q55 ; 35Q56 ; 82D55

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Research talks;Analysis and its Applications;Partial Differential Equations;Mathematical Physics

We are interested in the statistical mechanics of systems of N points with Coulomb interactions in general dimension for a broad temperature range. We discuss local laws characterizing the rigidity of the system at the microscopic level, as well as free energy expansion and Central Limit Theorems for fluctuations.

82C22 ; 81V19 ; 60F05 ; 82D05

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- 322 p.
ISBN 978-0-8176-4316-4

Progress in nonlinear differential equations and their applications , 0070

Localisation : Ouvrage RdC (SAND)

superconducteur # comportement asymptotique des solutions d'EDP # perturbation singulière # méthode variationnelle # équations de la physique # application # équation de Ginzburg-Landau

82D55 ; 35B40 ; 35B25 ; 35J60 ; 35J20 ; 35Q99 ; 58E50

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- viii; 156 p.
ISBN 978-3-03719-152-1

Zürich lectures in advanced mathematics

Localisation : Ouvrage RdC (SERF)

gaz de Coulomb # gaz de Log # plasma à un composant # mécanique statistique # théorie de Ginzburg-Landau # superconductivité # tourbillon # treillis de Abrikosov # cristallisation # matrice aléatoire # énergie renormalisée # limite de champ moyen # grande déviation

82B05 ; 82B21 ; 82B26 ; 15B52 ; 82D55 ; 35A15 ; 35J20 ; 35J60

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