Výsledky vyhledávání - "Bernard Hanouzet"

Kerr–Debye relaxation shock profiles for Kerr equations

Autor: Denise Aregba-Driollet, Bernard Hanouzet

Publikováno v: Communications in Mathematical Sciences. 9:1-31

The electromagnetic wave propagation in a nonlinear medium can be described by a Kerr model in the case of an instantaneous response of the material, or by a Kerr-Debye model if the material exhibits a finite response time. Both models are quasilinea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::24fdb690319a6b43560b02b628f2c33b
https://doi.org/10.4310/cms.2011.v9.n1.a1

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Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation

Autor: Bernard Hanouzet, Roberto Natalini, Gilles Carbou

Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2009, 246, pp.291-319
Journal of Differential Equations, Elsevier, 2009, 246 (1), pp.291--319
Journal of differential equations
246 (2009): 291–319. doi:10.1016/j.jde.2008.05.015
info:cnr-pdr/source/autori:Carbou G.; Hanouzet B.; Natalini R./titolo:Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation/doi:10.1016%2Fj.jde.2008.05.015/rivista:Journal of differential equations (Print)/anno:2009/pagina_da:291/pagina_a:319/intervallo_pagine:291–319/volume:246
(2008).
info:cnr-pdr/source/autori:Carbou G., Hanouzet B., Natalini R./titolo:Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation/doi:/rivista:Journal of differential equations (Print)/anno:2008/pagina_da:/pagina_a:/intervallo_pagine:/volume

International audience; We investigate totally linearly degenerate hyperbolic systems with relaxation. We aim to study their semilinear behavior, which means that the local smooth solutions cannot develop shocks, and the global existence is controlle

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Comportement semi-linéaire d'un système hyperbolique quasi-linéaire : le modèle de Kerr Debye

Autor: Bernard Hanouzet, Gilles Carbou

Publikováno v: Comptes Rendus Mathematique. 343:243-247

The monodimensional Kerr Debye model is a quasilinear hyperbolic system with source term. For the Cauchy problem and for the initial-boundary value problem, we prove that it does not exhibit shock waves: if the gradient of a solution blows up, the so

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::44b1edae11db36c742bfebf2681afff4
https://doi.org/10.1016/j.crma.2006.06.003

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Global Existence of Smooth Solutions for Partially Dissipative Hyperbolic Systems with a Convex Entropy

Autor: Roberto Natalini, Bernard Hanouzet

Publikováno v: Archive for Rational Mechanics and Analysis. 169:89-117

We consider the Cauchy problem for a general one-dimensional n×n hyperbolic symmetrizable system of balance laws. It is well known that, in many physical examples, for instance for the isentropic Euler system with damping, the dissipation due to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::03b30359e120923bf59322c895eec930
https://doi.org/10.1007/s00205-003-0257-6

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Approximation par relaxation d'un système de Maxwell non linéaire

Autor: Bernard Hanouzet, Philippe Huynh

Publikováno v: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 330:193-198

Resume Deux systemes d'equations de Maxwell non lineaires sont envisages : le modele de Kerr modelisant une reponse instantanee du milieu, le modele de Kerr–Debye qui presente un temps de retard et apparait comme une approximation par relaxation du

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e315a2e261431d3c9bb9879d16cec601
https://doi.org/10.1016/s0764-4442(00)00129-4

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Cauchy Problem for One-Dimensional Semilinear Hyperbolic Systems: Global Existence, Blow Up

Autor: Bernard Hanouzet, Denise Aregba-Driollet

Publikováno v: Journal of Differential Equations. 125:1-26

We study the blow up or global existence of the solutions of the Cauchy problem for 2×2 one-dimensional first order semilinear strictly hyperbolic systems with homogeneous quadratic interaction. Two characterizations are obtained: global existence f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::918c45379873ec1ef50d3a8418b73e1b
https://doi.org/10.1006/jdeq.1996.0022

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Dissipative Hyperbolic Systems: the Asymptotic Behavior of Solutions

Autor: Bernard Hanouzet, Roberto Natalini, Stefano Bianchini

Publikováno v: Hyperbolic Problems: Theory, Numerics, Applications ISBN: 9783540757115
Hyperbolic Problems: Theory, Numerics, Applications
Hyperbolic Problems: Theory, Numerics, Applications, Jul 2006, Lyon, France. pp.59-73

International audience; In this talk we shall review some recent results about qualitative behavior of smooth solutions to the Cauchy problem for general hyperbolic m-dimensional partially dissipative systems of balance laws with a convex entropy.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08fdbed4f094f9c30b58f62497cd3143
http://hdl.handle.net/20.500.12278/116669

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Relaxation Approximation of some Initial-Boundary Value Problem for p-Systems

Autor: Bernard Hanouzet, Gilles Carbou

Publikováno v: Communications in Mathematical Sciences
Communications in Mathematical Sciences, International Press, 2007, 5 (1), pp.187-203
Commun. Math. Sci. 5, iss. 1 (2007), 187-203

International audience; We consider the Suliciu model which is a relaxation approximation of the $p$-system. In the case of the Dirichlet boundary condition we prove that the local smooth solution of the $p$-system is the zero limit of the Suliciu mo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a80e892cfdcbac24f40bddf5d05cf148
https://hal.archives-ouvertes.fr/hal-00196163

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Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy

Autor: Bernard Hanouzet, Stefano Bianchini, Roberto Natalini

Publikováno v: Communications on Pure and Applied Mathematics
Communications on Pure and Applied Mathematics, Wiley, 2007, 60 (11), pp.1559-1622
Communications on pure and applied mathematics
60 (2007): 1559–1662. doi:10.1002/cpa.20195
info:cnr-pdr/source/autori:Bianchini S.; Hanouzet B.; Natalini R./titolo:Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy/doi:10.1002%2Fcpa.20195/rivista:Communications on pure and applied mathematics (Print)/anno:2007/pagina_da:1559/pagina_a:1662/intervallo_pagine:1559–1662/volume:60

International audience; We study the asymptotic time behavior of global smooth solutions to general entropy dissipative hyperbolic systems of balance law in m space dimensions, under the Shizuta-Kawashima condition. We show that these solutions appro

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f41e5f44c8822076d192e3cf30d524d0
http://hdl.handle.net/20.500.12278/116706

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On the Chapman-Jouguet limit for a combustion model

Autor: Roberto Natalini, Bernard Hanouzet, Alberto Tesei

We study the limiting behavior of solutions to a simple model for combustion waves when the reaction rate tends to infinity. First we establish strong convergence for locally uniformly bounded sequences of solutions. Next we show the uniform boundedn

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7efe06ee584dbf93f6c9e0a4cf97b71
http://hdl.handle.net/11573/2140

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