Personal webpage of Joackim Bernier


I am a post-doctoral researcher at the Institut de Mathématiques de Toulouse. I am a member of the ANR project NABUCO. Here is my Curriculum Vitae.


Preprints and papers

  1. Polar decomposition of semigroups generated by non-selfadjoint quadratic differential operators and regularizing effects with Paul Alphonse
  2. Splitting methods for rotations: application to vlasov equations with Fernando Casas and Nicolas Crouseilles
  3. Long time behavior of the solutions of NLW on the d-dimensional torus with Erwan Faou and Benoît Grébert
  4. Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium with Michel Mehrenberger to appear in kinetic and related models
  5. Rational normal forms and stability of small solutions to nonlinear Schrödinger equations with Erwan Faou and Benoît Grébert
  6. Smoothing Properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability with Paul Alphonse
  7. Existence and stability of traveling waves for discrete nonlinear Schrödinger equations over long times, SIAM J. Math. Anal., 2019, 51(3), 1607–1656 with Erwan Faou
  8. Bounds on the growth of high discrete Sobolev norms for the cubic discrete nonlinear Schrödinger equations on hZ, Discrete & Continuous Dynamical Systems-A, 2019, 39(6):3179-3195
  9. Optimality and resonances in a class of compact finite difference schemes of high order, Calcolo (2019) 56: 12.
  10. Verification of 2D × 2D and two-species Vlasov-Poisson solvers, ESAIM: ProcS, 2018, 63:78-108, with Yann Barsamian, Sever Hirstoaga and Michel Mehrenberger