PhD Thesis (2006)  

• Etude théorique et numérique de l'amortissement Landau en physique des plasmas.
  
  Thèse de l'université Bordeaux 1, Laboratoire de Mathématiques Appliquées de Bordeaux.
  PhD Advisors:
  • Thierry Colin (University of Bordeaux )
  • Gerard Gallice (French Atomic Energy Commission)
  • Cedric Galusinski (University of Toulon )
  
  
  Committee : F. Castella , T. Colin, G. Gallice, C. Galusinski, V. Tikhonchuk with reports by F. Castella and T. Goudon.

• Numerical 2D energy cascades for NLS inspired by Rémi Carles and Erwan Faou 's analysis (prepint : Energy cascades for NLS on the torus).



• NLS energy cascades






•Dynamic of vortex solution of the cubic NLS with a quadratic potential

          
Solutions: click on the images to see the simulations (left : modulus, right :real part).

• Hyperbolic NLS





• Numerical coupling of Landau damping and Raman amplification.

• Numerical three waves interactions in Zakharov systems (Langmuir decay instability).


Papers


• R. Belaouar, A. Fahim, N. Touzi,   Optimal Production Policy under the Carbon Emission Market, (2010). (preprint)

• R. Belaouar, T. Colin, G. Gallice,  Couplage de l'effet Landau avec l'amplification Raman, Revue Chocs avancées 2009 (CEA-DAM) (preprint)

• R. Belaouar,   Theoretical and numerical study of three waves interactions in Zakharov type systems, (2009). (preprint)

• R. Belaouar, N. Crouseilles, P.Degond, E. Sonnendrücker,  An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit,
Journal of Scientific Computing, (2008) (preprint).

• R. Belaouar, T. Colin, G. Gallice,   Numerical coupling of Landau damping and Raman amplification.
Journal of Computational Physics. (2008). (preprint).

• R. Belaouar, T. Colin, G. Gallice, C. Galusinski,   Theoretical and numerical study of a quasilinear Zakharov system
describing Landau damping, M2AN vol. 40, No6, 961-986 (2007) (preprint)

• R. Belaouar, V. Tikhonchuk, T. Colin, G. Gallice ,  Quasilinear electron acceleration in a driven plasma wave,
Plasma Phys. Control. Fusion 49 (2007) 969–984.   , (preprint).

• R. Belaouar, T. Colin, G. Gallice, V. Tikhonchuk, Quasilinear electron acceleration in a driven plasma wave.
31st EPS Conference on Plasma Phys. London, 28 June - 2 July 2004 ECA Vol.28G, P-5.047 (2004), (preprint).

• R. Belaouar, T. Colin, G. Gallice, C. Galusinski, Le problème de Cauchy pour un système modèlisant
l'amortissement Landau en physique des plasmas, séminaire X-EDP 2004, (preprint).




Teaching

• Option MAP 552 : Numerical resolution of Longstaff-Schwartz model for American options.

• Optimisation et applications.

• Calcul Scientifique et Analyse numérique.

• Algèbre et Analyse.

• Système Dynamique.