J. Hyperbolic Differential Equations (JHDE)

 

Main Editor: Philippe G. LeFloch

contact@philippelefloch.org

Laboratoire Jacques-Louis Lions

Centre National de la Recherche Scientifique (CNRS)

Université Pierre et Marie Curie

(Paris 6), 4 Place Jussieu

75252 Paris, FRANCE

Co-editor:  Jian-Guo Liu, Duke Univ.

Editorial Board

• Lars Andersson (Potsdam)
• François Bouchut (Paris-Est)
• Shuxing Chen (Shanghai)
• James Colliander (Toronto)
• Rinaldo M Colombo (Brescia)
• Constantine M Dafermos (Providence)
• Helmut Friedrich (Potsdam)
• Kenneth H Karlsen (Oslo)
• Shuichi Kawashima (Fukuoka)
• Sergiu Klainerman (Princeton)
• Peter D Lax (New York)
• Tai-Ping Liu (Taipei)
• Pierro Marcati (L’Aquila)
• Nader Masmoudi (New York)
• Frank Merle (Bures-sur-Yvette)
• Cathleen S Morawetz (New York)
• Tatsuo Nishitani (Osaka)
• Alan D Rendall (Potsdam)
• Denis Serre (Lyon)
• Eitan Tadmor (College Park)

This journal publishes original research papers on nonlinear hyperbolic problems and related topics, especially on the theory and numerical analysis of hyperbolic conservation laws and on hyperbolic partial differential equations arising in mathematical physics. The Journal welcomes contributions in:

• Theory of nonlinear hyperbolic systems of conservation laws, addressing the issues of well-posedness and qualitative behavior of solutions, in one or several space dimensions.
• Hyperbolic differential equations of mathematical physics, such as the Einstein equations of general relativity, Dirac equations, Maxwell equations, relativistic fluid models.
• Lorentzian geometry, particularly global geometric and causal theoretic aspects of spacetimes satisfying the Einstein equations.
• Nonlinear hyperbolic systems arising in continuum physics such as hyperbolic models of fluid dynamics, mixed models of transonic flows.
• General problems that are dominated by finite speed phenomena such as dissipative and dispersive perturbations of hyperbolic systems, and models relevant to the derivation of fluid dynamical equations.

JHDE aims to provide a forum for the community of researchers working in the very active area of nonlinear hyperbolic problems and nonlinear wave equations, and will also serve as a source of information for the applications.

Conference on Nonlinear Wave Equations — IHP Paris — May 21 to 24, 2013

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Conference on

Nonlinear Wave Equations at IHP

Organizers: 

 Sergiu Klainerman (Princeton)

Philippe G. LeFloch (Paris)

Jérémie Szeftel (Paris)

Fondations des Sciences Mathématiques de Paris

ANR Project

“Mathematical General Relativity. Analysis and geometry of spacetimes with low regularity”

May 21 to May 24, 2013

Institut Henri Poincaré, Paris

Schedule available here

Further informations available here

Poster of the conference  here

INVITED SPEAKERS

Lars Andersson (Potsdam)

Stefanos Aretakis (Princeton)

Nicolas Burq (Paris-Sud)

Pieter Blue (Edinburgh)

Mihalis Dafermos (Princeton)

Jean Marc Delort (Paris-Nord)

Gustav Holzegel (London)

Alexandru Ionescu (Princeton)

Joachim Krieger (EPFL)

Jonathan Luk (UPenn)

Franck Merle (Cergy & IHES)

Sung-Jin Oh (Princeton)

Fabrice Planchon (Nice)

Pierre Raphael (Nice)

Igor Rodnianski (MIT)

Chung-Tse Arick Shao (Toronto)

Jacques Smulevici (Paris-Sud)

Jacob Sterbenz (San Diego)

Seminar on Mathematical General Relativity – Wednesday February 20, 2013

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Seminar on

Mathematical General Relativity

Organizers:

 Philippe G. LeFloch (Paris)

Ghani Zeghib (Lyon)

ANR Project

“Mathematical General Relativity. Analysis and geometry of spacetimes with low regularity”

February 20, 2013

Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Paris

Lecture room  1525-103

 

14h  Florian Beyer  (Dunedin)  Asymptotics and conformal structures of solutions to Einstein’s field equations

Abstract. Roger Penrose’s idea that the essential information about the asymptotics of solutions of the Einstein’s field equations is contained in the conformal structure and the associated conformal boundary has led to astonishing successes. In his original work, he provided several examples which made the importance of his idea evident. However, the question whether general solutions of Einstein’s field equations are compatible with this proposal remained unanswered. Motived by this, Helmut Friedrich has initiated a research programme to tackle this problem based on his so-called conformal field equations. In this talk I report on the status of this work and some of Friedrich’s results, but also on joint work with  collaborators at the University of Otago.

15h30  Julien Cortier (IHES, Bures-sur-Yvette)  On the mass of asymptotically hyperbolic manifolds

Abstract. By analogy with the ADM mass of asymptotically Euclidean manifolds, a set of global charges can be defined for asymptotically hyperbolic manifolds. We will review their various definitions and , in particular, focus on the notion of “mass aspect” tensor, which gives rise to the  energy-momentum vector and arises  in the hyperbolic formulation of the positive mass theorem. We will compute these quantities for examples such that the Schwarzschild-anti de Sitter metrics, and we will present a family of counter-examples with “non-positive” mass when completeness is not assumed.