Eric Dumas

18
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Publications

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On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations

Eric Dumas , Franck Sueur
Communications in Mathematical Physics, 2014, 330 (3), pp.1179-1225
Article dans une revue hal-00816222 v1
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Justification of the log-KdV equation in granular chains: the case of precompression

Eric Dumas , Dmitry E. Pelinovsky
SIAM Journal on Mathematical Analysis, 2014, 46 (6), ⟨10.1137/140969270⟩
Article dans une revue hal-01003727 v1
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From Newton's cradle to the discrete p-Schrödinger equation

Brigitte Bidégaray-Fesquet , Eric Dumas , Guillaume James
SIAM Journal on Mathematical Analysis, 2013, 45 (6), pp.3404-3430. ⟨10.1137/130924196⟩
Article dans une revue hal-00831868 v1
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High frequency behavior of the Maxwell-Bloch model with relaxation: convergence to the Schrödinger-rate system

François Castella , Eric Dumas
Journal of Hyperbolic Differential Equations, 2012, 9 (3), pp.355-401. ⟨10.1142/S0219891612500129⟩
Article dans une revue hal-00505587 v1
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Hysteresis for ferromagnetism: asymptotics of some two-scale Landau-Lifshitz model

Eric Dumas , Stéphane Labbé
Journal of Evolution Equations, 2012, 12 (3), pp.621-645. ⟨10.1007/s00028-012-0147-1⟩
Article dans une revue hal-00625074 v1
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Geometric optics and instability for NLS and Davey-Stewartson models

Rémi Carles , Eric Dumas , Christof Sparber
Journal of the European Mathematical Society, 2012, 14 (6), pp.1885-1921. ⟨10.4171/JEMS/350⟩
Article dans une revue hal-00494620 v1

Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations.

Eric Dumas , Franck Sueur
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2012, 11 (5), pp.503-543
Article dans une revue hal-04856348 v1
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Multiphase weakly nonlinear geometric optics for Schrodinger equations

Rémi Carles , Eric Dumas , Christof Sparber
SIAM Journal on Mathematical Analysis, 2010, 42 (1), pp.489-518. ⟨10.1137/090750871⟩
Article dans une revue hal-00361348 v2
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From Bloch model to the rate equations II: the case of almost degenerate energy levels

Brigitte Bidégaray-Fesquet , François Castella , Eric Dumas , Marguerite Gisclon
Mathematical Models and Methods in Applied Sciences, 2004, 14 (12), pp.1785-1817. ⟨10.1142/s0218202504003829⟩
Article dans une revue hal-00001303 v1

Un modèle asymptotique pour les solutions de faible amplitude du berceau de Newton

Brigitte Bidégaray-Fesquet , Eric Dumas , Guillaume James
CANUM 2014 - Congrès National d'Analyse Numérique, Mar 2014, Carry-le-Rouet, France
Communication dans un congrès hal-00974878 v1

An asymptotic model for small amplitude solutions to Newton's cradle

Brigitte Bidégaray-Fesquet , Eric Dumas , Guillaume James
2014 SIAM Conference on Nonlinear Waves and Coherent Structures, Aug 2014, Cambridge, United Kingdom
Communication dans un congrès hal-00974845 v1

Impact of metallic interface description on sub-wavelength cavity mode computations

Brigitte Bidégaray-Fesquet , Eric Dumas
Polaritons 2011 - Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics, Apr 2011, Marseille, France
Communication dans un congrès hal-00905182 v1

Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations

Brigitte Bidégaray-Fesquet , Eric Dumas
Waves 2009 - 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Jun 2009, Pau, France. pp.394-395
Communication dans un congrès hal-00748101 v1
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Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation

Eric Dumas , David Lannes , Jeremie Szeftel
CRM Series in Mathematical Physics, Springer International Publishing, pp.19-75, 2016, Laser Filamentation
Chapitre d'ouvrage hal-00997611 v2
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Un peu d'optique diffractive non-lineaire a phases courbes

Eric Dumas
Mathématiques [math]. Université Rennes 1, 2000. Français. ⟨NNT : ⟩
Thèse tel-00002525 v1