Personal webpage of Joackim Bernier

Presentation

I am a PhD student at the IRMAR. My supervisors are Erwan Faou and Nicolas Crouseilles. I am a member of the INRIA project Mingus. I am also a teaching assistant ("moniteur") at ENS Rennes. Here is my Curriculum Vitae.

Contact

Preprints and papers

  1. Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium with Michel Mehrenberger
  2. Rational normal forms and stability of small solutions to nonlinear Schrödinger equations with Erwan Faou and Benoît Grébert
  3. Smoothing Properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability with Paul Alphonse
  4. Existence and stability of traveling waves for discrete nonlinear Schrödinger equations over long times, SIAM J. Math. Anal., 51(3), 1607–1656 with Erwan Faou
  5. 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
  6. Optimality and resonances in a class of compact finite difference schemes of high order, Calcolo (2019) 56: 12.
  7. Verification of 2D × 2D and two-species Vlasov-Poisson solvers, ESAIM: ProcS, 2018, 63:78-108, with Yann Barsamian, Sever Hirstoaga and Michel Mehrenberger