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Luc Molinet

  1. Ill-posedness of the Camassa–Holm and related equations in the critical space
    2018/08/09 by Zihua Guo, Xingxing Liu, Luc Molinet +1 · 15 citations
    Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Mathematical Physics Problems #Advanced Differential Equations and Dynamical Systems
  2. Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and\n applications
    2013/02/12 by Luc Molinet, Molinet, Luc, Didier Pilod +1 · 6 citations
    Mathematics · #Advanced Mathematical Physics Problems
  3. The Cauchy problem for the Benjamin-Ono equation in L2 revisited
    2010/07/09 by Luc Molinet, Didier Pilod, Molinet, Luc +1 · 6 citations
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods
  4. Sharp ill-posedness results for the KdV and mKdV equations on the torus
    2011/05/18 by Luc Molinet, Molinet, Luc · 3 citations
    Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometry and complex manifolds #Nonlinear Partial Differential Equations
  5. Global well-posedness in the Energy space for the Benjamin-Ono equation on the circle
    2005/05/23 by Luc Molinet, Molinet, Luc · 2 citations
    Mathematics · Physics and Astronomy · #35A05 #35Q53 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP #msc:35A05 #msc:35Q53
  6. On the stability of the solitary waves to the (generalized) kawahara equation
    2016/11/28 by André Kabakouala, Luc Molinet, Kabakouala, André +1 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
  7. A rigidity result for the Holm-Staley b-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon
    2018/10/02 by Luc Molinet, Molinet, Luc · 1 citation
    Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations
  8. On unconditional well-posedness for the periodic modified korteweg-de\n vries equation
    2016/07/19 by Luc Molinet, Molinet, Luc, Didier Pilod +3 · 2 citations
    Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
  9. Refined bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations
    2022/07/18 by Luc Molinet, Molinet, Luc, Tomoyuki Tanaka +1 · 2 citations
    Mathematics · #Advanced Mathematical Physics Problems
  10. On the well-posedness of the KP-I equation
    2024/04/18 by Zihua Guo, Luc Molinet, Guo, Zihua +1 · 1 citation
    Mathematics · #Advanced Mathematical Physics Problems
  11. Global solutions for the one-dimensional Boussinesq-Peregrine system under small bottom variation
    2024/06/07 by Luc Molinet, Raafat Talhouk, Molinet, Luc +1 · 1 citation
    Mathematics · #35A1 #35B30 #35L56 #35Q35 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations