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Date
Editeur
Auteur
Titre
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Andras Vasy - Quasilinear waves and trapping: Kerr‐de Sitter space
/ Fanny Bastien
/ 30-06-2014
/ Canal-u.fr
Vasy Andràs
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In this talk I will describe recent work with Peter Hintz on globally solving quasilinear wave equations in the presence of trapped rays, on Kerr de Sitter space, and obtaining the asymptotic behavior of solutions. For the associated linear problem without trapping, one would consider a global, non elliptic, Fredholm framework; in the presence of trapping the same framework is available for spaces of growing functions only. In order to solve the quasilinear problem we thus combine these frameworks with the normally hyperbolic trapping results of Dyatlov and a Nash Moser iteration scheme. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis
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Andras Vasy - Microlocal analysis and wave propagation (Part 1)
/ Fanny Bastien
/ 16-06-2014
/ Canal-u.fr
Vasy Andràs
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In these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In the latter case there is no `standard' algebra of differential, or pseudodifferential, operators; I will discuss two important frameworks: Melrose's totally characteristic, or b, operators and scattering operators. Apart from the algebraic and mapping properties, I will discuss microlocal ellipticity, real principal type propagation, radial points and generalizations, as well as normally hyperbolic trapping. The applications discussed will include Fredholm frameworks (which are thus global even for non elliptic problems!) for the Laplacian on asymptotically hyperbolic spaces and the wave operator on asymptotically de Sitter spaces, scattering theory for `scattering metrics' (such as the `large ends' of cones), wave propagation on asymptotically Minkowski spaces and generalizations (`Lorentzian scattering metrics') and on Kerr de Sitter type spaces. The lectures concentrate on linear PDE, but time permitting I will briefly discuss nonlinear versions. The lecture by the speaker in the final workshop will use these results to solve quasilinear wave equations globally, including describing the asymptotic behavior of solutions, on Kerr de Sitter spaces. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis
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Les articulations scolaires espagnoles par Rafael Valls
/ INRP Institut National de Recherche Pedagogique
/ 21-10-2010
/ Canal-U - OAI Archive
VALLS Rafael
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Ecole Européenne d'été 2009 VF - Session produits et services de santé : séance de questions
/ CERIMES, Canal-U/Sciences de la Santé et du Sport
/ 03-07-2009
/ Canal-U - OAI Archive
VALDEYRON Nicolas, LOJKO Natalia, ROUSSET Guillaume
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La séance de questions concernant les présentations:Ecole Européenne d'été 2009 VF - La politique communautaire pharmaceutiqueEcole Européenne d'été 2009 VF - L'accès aux produits médicaux à travers un contexte internationalEcole Européenne d'été 2009 VF - Evolutions récentes et à venir du droit français de médicamentSCD Médecine. Mot(s) clés libre(s) : consentement éclairé, droit de la santé, droit du médicament, Ecole Européenne d'Eté, éthique biomédicale, pharmacie
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Ecole Européenne d'été 2009 VA - Questions : session health products and health care
/ CERIMES, Canal-U/Sciences de la Santé et du Sport
/ 03-07-2009
/ Canal-U - OAI Archive
VALDEYRON Nicolas, LOJKO Natalia, ROUSSET Guillaume
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Questions about presentations :Ecole Européenne d'été 2009 VA - The pharmaceutical community policyEcole Européenne d'été 2009 VA - Access to medical productsEcole Européenne d'été 2009 VA - Recent evolutions and to come from the French law of medicin SCD Médecine. Mot(s) clés libre(s) : droit de la santé, Ecole Européenne d'Eté, éthique biomédicale, law, medicament right
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Penser en ingénieur : méthodes de pensées et de travail
/ UTLS - la suite
/ 10-01-2010
/ Canal-U - OAI Archive
UTLS - la suite
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Une conférence du cycle : Qu’est-ce qu’un ingénieur aujourd’hui ? L’ingénieur, le génie, la machine du 10 au 14 janvier et du 16 au 19 janvier 2010, à 18h30 Penser en ingénieur : méthodes de pensées et de travail par Philippe Demarcy, Centrale Lille et Philippe Depincé, directeur des études, Centrale Nantes Mot(s) clés libre(s) : cadre technique, classe préparatoire, Commission des Titres d'Ingénieur, conception de machine, CTI, fabrication industrielle, formation scientifique, génie, gestion de projet, grande école, ingénierie, management, métier de l'ingénieur, problème technolo
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Tatiana Toro - Geometry of measures and applications (Part 5)
/ Fanny Bastien
/ 19-06-2015
/ Canal-u.fr
Toro Tatiana
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Voir le résumé
In the 1920's Besicovitch studied
linearly measurable sets in the plane, that is sets with locally finite
"length". The basic question he addressed was whether the infinitesimal
properties of the "length" of a set E in the plane yield geometric
information on E itself. This simple question marks the beginning of the
study of the geometry of measures and the associated field known as
Geometric Measure Theory (GMT).
In
this series of lectures we will present some of the main results in the
area concerning the regularity of the support of a measure in terms of
the behavior of its density or in terms of its tangent structure. We
will discuss applications to PDEs, free boundary regularity problem and
harmonic analysis. The aim is that the GMT component of the mini-course
will be self contained. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Tatiana Toro - Geometry of measures and applications (Part 4)
/ Fanny Bastien
/ 18-06-2015
/ Canal-u.fr
Toro Tatiana
Voir le résumé
Voir le résumé
In the 1920's Besicovitch studied
linearly measurable sets in the plane, that is sets with locally finite
"length". The basic question he addressed was whether the infinitesimal
properties of the "length" of a set E in the plane yield geometric
information on E itself. This simple question marks the beginning of the
study of the geometry of measures and the associated field known as
Geometric Measure Theory (GMT).
In
this series of lectures we will present some of the main results in the
area concerning the regularity of the support of a measure in terms of
the behavior of its density or in terms of its tangent structure. We
will discuss applications to PDEs, free boundary regularity problem and
harmonic analysis. The aim is that the GMT component of the mini-course
will be self contained. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Tatiana Toro - Geometry of measures and applications (Part 3)
/ Fanny Bastien
/ 17-06-2015
/ Canal-u.fr
Toro Tatiana
Voir le résumé
Voir le résumé
In the 1920's Besicovitch studied
linearly measurable sets in the plane, that is sets with locally finite
"length". The basic question he addressed was whether the infinitesimal
properties of the "length" of a set E in the plane yield geometric
information on E itself. This simple question marks the beginning of the
study of the geometry of measures and the associated field known as
Geometric Measure Theory (GMT).
In
this series of lectures we will present some of the main results in the
area concerning the regularity of the support of a measure in terms of
the behavior of its density or in terms of its tangent structure. We
will discuss applications to PDEs, free boundary regularity problem and
harmonic analysis. The aim is that the GMT component of the mini-course
will be self contained. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Tatiana Toro - Geometry of measures and applications (Part 2)
/ Fanny Bastien
/ 16-06-2015
/ Canal-u.fr
Toro Tatiana
Voir le résumé
Voir le résumé
In the 1920's Besicovitch studied
linearly measurable sets in the plane, that is sets with locally finite
"length". The basic question he addressed was whether the infinitesimal
properties of the "length" of a set E in the plane yield geometric
information on E itself. This simple question marks the beginning of the
study of the geometry of measures and the associated field known as
Geometric Measure Theory (GMT).
In
this series of lectures we will present some of the main results in the
area concerning the regularity of the support of a measure in terms of
the behavior of its density or in terms of its tangent structure. We
will discuss applications to PDEs, free boundary regularity problem and
harmonic analysis. The aim is that the GMT component of the mini-course
will be self contained. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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