Recent Preprints of Luc Molinet.

1. Well-posedness theory for  dispersive equations

•   (with Z. Guo and Y. Lin) Global well-posedness in energy space of the periodic modified Benjamin-Ono equation Preprint 2013 (arXiv:1302.5456)
  

• (with D. Pilod) Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications  Preprint  2013  (arXiv:1302.2933 )

2. Dispersive limits

• (with Y. Wang ) Dispersive limit from the Kawahara to the KdV equation  Preprint  2013  (arXiv:1205.0729 )

3. Miscellaneous

• (With S. Tayachi) Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) heat equation Preprint  2013  (arXiv:1304.0880)

4. Global attractor for weakly damped dispersive equations with forcing

• Global attractor for the weakly damped nonlinear Schrodinger equations in L^2(R) (with O. Goubet)  Nonlinear Analysis 71 (2009), 317-320. (arXiv:0910.0172)
  

• Global attractor and asymptotic smoothing effects for the weakly damped cubic  Schrodinger equation in L^2(T)  Dynamics of PDE 6 (2009), 15-34 (arXiv:0806.4578)

5. Camassa-Holm equation

• Stability of multipeakons (with K. El Dika)  Annales I.H.P. (C)-Nonlinear Analysis
  26 (2009), 1517-1532. (arXiv:0803.0261v1 [math.AP])

6 Viscoelastic fluid flows

• Newtonian limit of weakly viscoelastic fluid flows of Olroyds'type (with R. Talhouk) SIAM J. Math. Anal. 39 (2008), 1577-1594.  ( arXiv:0803.0228v1 [math.AP])

     HDR : "Sur la résolution de quelques équations d'ondes non linéaires"   (click here)