Philippe LeFloch's Blog

J. Hyperbolic Differential Equations (JHDE)

In GENERAL RELATIVITY, J. Hyperbolic Differential Equations (JHDE) on September 7, 2009 at 11:20 am

For the web page of JHDE, see this link. Submit papers to contact@philippelefloch.org

This journal publishes original research papers on nonlinear hyperbolic problems and related topics. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of 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, etc.
  • 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, etc.
  • General problems that are dominated (but not exclusively driven) by finite speed phenomena, such as dissipative and dispersive perturbations of hyperbolic systems, and models from statistical mechanics and other probabilistic models relevant to the derivation of fluid dynamical equations.

The Journal aims to provide a forum for the community of researchers who are currently working in the very active area of nonlinear hyperbolic problems, and will also serve as a source of information for the users of such research. There is no a priori limitation on the length of submitted manuscripts, and even long papers may be published.

Managing Editor: Philippe G. LeFloch

Laboratoire Jacques-Louis Lions, Centre National de la Recherche Scientifique, Université Pierre et Marie Curie (Paris 6), 4 Place Jussieu, 75252 Paris, France.   contact@philippelefloch.org

Co-Editor:  Jian-Guo Liu, Department of Mathematics and Department of Physics, Duke University, Durham, NC 27708, USA. 

Editorial Board

  • L Andersson (Albert Einstein Institute, Germany)
  • F Bouchut (CNRS & Ecole Normale Supérieure, France)
  • S-X Chen (Fudan University, China)
  • J Colliander (University of Toronto, Canada)
  • R M Colombo (Universitá degli Studi di Brescia, Italy)
  • C M Dafermos (Brown University, USA)
  • H Friedrich (Max Planck Institute, Germany)
  • K H Karlsen (University of Oslo, Norway)
  • S Kawashima (Kyushu University, Japan)
  • S Klainerman (Princeton University, USA)
  • P D Lax (New York University, USA)
  • T-P Liu (Stanford University, USA)
  • P Marcati (Universita di L’Aquila, Italy)
  • P A Markowich (University of Cambridge, UK)
  • N Masmoudi (New York University, USA)
  • F Merle (Université de Cergy-Pontoise, France)
  • C S Morawetz (New York University, USA)
  • T Nishitani (Osaka University, Japan)
  • A D Rendall (Max Planck Institute, Germany)
  • D Serre (UMPA, ENS-Lyon, France)
  • E Tadmor (University of Maryland, USA)

Seminar on Mathematical General Relativity_____ February 9, 2012

In ALL SEMINARS AND CONFERENCES, GENERAL RELATIVITY on January 7, 2012 at 10:24 pm
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Seminar on

Mathematical General Relativity

Organizers:

 Philippe G. LeFloch (Univ. Pierre et Marie Curie)

Ghani Zeghib (Ecole Normale Supérieure, Lyon)

With the financial support of the ANR Project

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


Thursday February 9, 2012

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

Lecture room 15-25 101 (first level)


14h   Alan Rendall (AEI, Potsdam) Singularity formation in solutions of the Einstein-Vlasov system

Abstract.  Important questions in mathematical relativity are when singularities form in solutions of the Einstein equations coupled to matter and, in cases where they do form, what their qualitative nature is. A type of matter model which apparently rarely loses smoothness in the absence of black hole formation is collisionless matter modelled by the Vlasov equation. This contrasts with dust, a type of matter popular among relativists. In this talk I describe recent work with Juan Velazquez where we try to obtain new insights about the dynamics of the Einstein-Vlasov system by interpolating between smooth Vlasov and dust in a suitable way. We have shown that for certain mildly singular initial data a curvature singularity can form. It is constructed by means of a shooting argument for a system of ordinary differential equations. From the point of view of physics it would be desirable to improve this solution in various ways and I will report briefly on work in progress on doing this.

15h30 François Filastre (Cergy-Pontoise) Brunn–Minkowski theory in Minkowski spacetime 

Abstract.  The Brunn–Minkowski theory deals with the relations between the addition and the volume of convex bodies of the Euclidean space. Convex bodies are described by function on the sphere. The main result of the theory is that the volume is log-concave. We establish an analog result for a class of convex sets in the Minkowski spacetime. The compactness is replaced by a global invariance property under the action of particular groups of linear isometries. In particular, these convex sets can be described by functions on compact hyperbolic manifolds and, in this case, the volume is convex.

Workshop Two-Phase Fluid Flows – Feb. 14 to 16, 2012

In ALL SEMINARS AND CONFERENCES, COMPRESSIBLE FLUIDS on December 8, 2011 at 4:07 pm
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7th DFG–CNRS WORKSHOP

Two-Phase Fluid Flows. Modeling and Computational Methods 

Main organizer:    

 Philippe G. LeFloch (Univ. Pierre et Marie Curie, Paris)

Co-organizers:

Christophe Berthon (Nantes) and Philippe Helluy (Strasbourg)

With financial support from the DFG and the CNRS


Tuesday Feb. 14, 2012 at 2pm to Thursday Feb. 16 at noon

Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4, Place Jussieu, Paris.

Subway station: Jussieu

Lecture room 15-16 — 309


SCHEDULE, list of participants, and abstracts


INVITED SPEAKERS


Gonca Aki
 
(Berlin) An incompressible diffuse flow with phase transition

Mathieu Bachmann (Aachen) Numerical simulation of shock wave-bubble interactions using laser-induced cavitation bubbles

Frank Boyer (Marseille)  Numerical methods for a three-component phase field model

Sergey L. Gavrilyuck (Marseille) Diffuse interface model for compressible fluid-compressible elastic-plastic solid interaction

Maren Hantke (Magdeburg) Exact solutions to the Riemann problem for compressible isothermal Euler equations for two phase flows, with and without phase transition

Philippe Helluy  (Strasbourg) Computing bubble oscillations on GPU (graphics processing unit)

Dietmar Kroener (Freiburg) Numerics for phase field models

Hélène Mathis (Nantes) Model adaptation for hyperbolic systems with relaxation 

Khaled Saleh (Paris) A splitting method for the isentropic Baer-Nunziato two-phase flow model 

Nicolas Seguin (Paris)  Model adaptation in hierarchies of hyperbolic systems

Gabriele Witterstein (Munich) Existence of transition profiles for compressible flows

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PRACTICAL INFORMATIONS

The PROGRAM will be posted here (later)

To be included on the LIST OF PARTICIPANTS, send me an email at:  contact@philippelefloch.org

How to come to the Laboratoire Jacques-Louis Lions ?

Hotels near the University Pierre et Marie Curie ?

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EARLIER WORKSHOPS “Micro-Macro Modeling and Simulation of Liquid-Vapour Flows”

Sixth Workshop, Stuttgart, Jan. 2011

Fourth Workshop, Aachen, Feb. 2009

Second Workshop, Bordeaux

Opening Workshop, Kirchzarten, Nov. 2005

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