Nombre de documents

17

Eric DUMAS


https://www-fourier.ujf-grenoble.fr/~edumas/


Article dans une revue8 documents

  • Eric Dumas, Franck Sueur. On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations. Communications in Mathematical Physics, Springer Verlag, 2014, 330 (3), pp.1179-1225. 〈hal-00816222〉
  • Eric Dumas, Dmitry Pelinovsky. Justification of the log-KdV equation in granular chains: the case of precompression. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2014, 46 (6). 〈hal-01003727〉
  • Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James. From Newton's cradle to the discrete p-Schrödinger equation. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2013, 45 (6), pp.3404-3430. 〈10.1137/130924196〉. 〈hal-00831868〉
  • François Castella, Eric Dumas. High frequency behavior of the Maxwell-Bloch model with relaxation: convergence to the Schrödinger-rate system. Journal of Hyperbolic Differential Equations, World Scientific Publishing, 2012, 9 (3), pp.355-401. 〈10.1142/S0219891612500129〉. 〈hal-00505587〉
  • Rémi Carles, Eric Dumas, Christof Sparber. Geometric optics and instability for NLS and Davey-Stewartson models. Journal of the European Mathematical Society, European Mathematical Society, 2012, 14 (6), pp.1885-1921. 〈10.4171/JEMS/350〉. 〈hal-00494620〉
  • Eric Dumas, Stéphane Labbé. Hysteresis for ferromagnetism: asymptotics of some two-scale Landau-Lifshitz model. Journal of Evolution Equations, Springer Verlag, 2012, 12 (3), pp.621-645. 〈10.1007/s00028-012-0147-1〉. 〈hal-00625074〉
  • Rémi Carles, Eric Dumas, Christof Sparber. Multiphase weakly nonlinear geometric optics for Schrodinger equations. SIAM Journal on Mathematical Analysis / SIAM Journal of Mathematical Analysis, springer, 2010, 42 (1), pp.489-518. 〈10.1137/090750871〉. 〈hal-00361348v2〉
  • Brigitte Bidégaray-Fesquet, François Castella, Eric Dumas, Marguerite Gisclon. From Bloch model to the rate equations II: the case of almost degenerate energy levels. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2004, 14 (12), pp.1785-1817. 〈10.1142/s0218202504003829〉. 〈hal-00001303〉

Communication dans un congrès4 documents

  • Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James. Un modèle asymptotique pour les solutions de faible amplitude du berceau de Newton. CANUM 2014 - Congrès National d'Analyse Numérique, Mar 2014, Carry-le-Rouet, France. 〈hal-00974878〉
  • Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James. An asymptotic model for small amplitude solutions to Newton's cradle. 2014 SIAM Conference on Nonlinear Waves and Coherent Structures, Aug 2014, Cambridge, United Kingdom. 〈hal-00974845〉
  • Brigitte Bidégaray-Fesquet, Eric Dumas. Impact of metallic interface description on sub-wavelength cavity mode computations. Polaritons 2011 - Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics, Apr 2011, Marseille, France. 〈hal-00905182〉
  • Brigitte Bidégaray-Fesquet, Eric Dumas. Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations. Barucq H., Bonnet-Bendhia A.-S., Cohen G., Diaz J., Ezziani A. et Joly P. Waves 2009 - 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Jun 2009, Pau, France. INRIA, pp.394-395, 2009. 〈hal-00748101〉

Chapitre d'ouvrage1 document

  • Eric Dumas, David Lannes, Jeremie Szeftel. Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation. CRM Series in Mathematical Physics, Springer International Publishing, pp.19-75, 2016, Laser Filamentation. 〈hal-00997611v2〉

Pré-publication, Document de travail3 documents

  • Brigitte Bidégaray-Fesquet, Eric Dumas. Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations. IF_PREPUB. 17 pages. 2011. 〈hal-00905175〉
  • Eric Dumas, Franck Sueur. Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. IF_PREPUB. 2010. 〈hal-00493203〉
  • Eric Dumas. About nonlinear geometric optics. IF_PREPUB. 2005. 〈hal-00014461〉

Thèse1 document

  • Eric Dumas. Un peu d'optique diffractive non-lineaire a phases courbes. Mathématiques [math]. Université Rennes 1, 2000. Français. 〈tel-00002525〉