Research texts

Preprints

  1. E. Bukieda, L. Garénaux and B. de Rijk - arXiv
    Orbital stability of plane waves in the Klein-Gordon equation against localized perturbations
  2. L. Garénaux and B. Hilder - arXiv
    Linear convective stability of a front superposition with unstable connecting state
  3. L. Garénaux and B. de Rijk - arXiv
    Long time behavior of small solutions in the viscoelastic Klein-Gordon equation

Published articles

  1. L. Garénaux and H. J. Hupkes (2026) - DOI - arXiv
    Existence of monostable fronts for a KPP infinite-difference numerical scheme, Discrete and Continuous Dynamical Systems 48, 30-47
  2. L. Garénaux and L. M. Rodrigues (2025) - DOI - arXiv
    Convective stability in scalar balance laws, Differential Integral Equations 38, 1-2
  3. L. Garénaux (2024) - DOI - arXiv
    Nonlinear convective stability of a critical pulled front undergoing a Turing bifurcation at its back: a case study, SIAM J. Math. Anal. 56, 3
  4. M. Avery and L. Garénaux (2023) - DOI - arXiv
    Spectral stability of the critical front in the extended Fisher-KPP equation, Z. Angew. Math. Phys. 74, 71

Unpublished notes

  1. L. Garénaux and B. de Rijk - arXiv
    Global existence and decay of small solutions in a viscous half Klein–Gordon equation

Memoir

PhD thesis (2022) - HAL
Asymptotic stability of invasion fronts in reaction-diffusion equations