Publications

• Well-posedness theory for a non-conservative Burgers type system arising in dislocation dynamics.
  SIAM Journal on Mathematical Analysis, 39 (2007), pp. 965-986.
   
• A convergent scheme for a non-local coupled system modelling the dynamics of dislocation densities.
  (avec N. Forcadel), Mathematics of Computation, 77 (2008), pp. 789-812.
   
• Derivation and study of dynamical models of dislocation densities.
  (avec H. Ibrahim et R. Monneau), ESAIM: Proceedings, 27 (2009), pp. 227-239.
   
• Global existence for a system of non-linear and non-local transport equations describing the dynamics of dislocation densities.
  (avec M. Cannone, R. Monneau et F. Ribaud), accepté à Archive for Rational Mechanics and Analysis.
   
• Dislocation dynamics: from microscopic models to macroscopic crystal plasticity.
  (avec H. Ibrahim et R. Monneau), Continuum Mechanics and Thermodynamics, 21 (2009), pp. 109-123
   
• Homogenization of dislocation dynamics.
  (avec H. Ibrahim et R. Monneau), Materials Science and Engineering, 3 (2009) 012023.
   
• Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities.
  Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 27 (2010) 21-35.
   
• Global continuous solutions for diagonal hyperbolic systems with large and monotone data.
  (avec R. Monneau), accepté à Journal of Hyperbolic Differential Equations.
   
• Some uniqueness results for diagonal hyperbolic systems with large and monotone data.
  (avec R. Monneau), en préparation.