Towards a weakly nonlinear nonmodal stability theory

References

2025

  1. PRE
    Nonmodal amplitude equations
    Yves-Marie Ducimetière, and François Gallaire
    Physical Review E, 2025
    DOI

2024

  1. PhD Thesis
    Non-normal forms
    Yves-Marie Ducimetière
    EPFL, 2024
    DOI
  2. PRF
    Noise-induced transitions past the onset of a steady symmetry-breaking bifurcation: The case of the sudden expansion
    Yves-Marie Ducimetière, Edouard Boujo, and François Gallaire
    Physical Review Fluids, 2024
    DOI

2023

  1. JFM
    A weakly nonlinear amplitude equation approach to the bypass transition in the two-dimensional Lamb-Oseen vortex
    Yves-Marie Ducimetière, and François Gallaire
    Journal of Fluid Mechanics, 2023
    DOI

2022

  1. JFM
    Weakly nonlinear evolution of stochastically driven non-normal systems
    Yves-Marie Ducimetière, Edouard Boujo, and François Gallaire
    Journal of Fluid Mechanics, 2022
    DOI
  2. JFM
    Weak nonlinearity for strong non-normality
    Yves-Marie Ducimetière, Edouard Boujo, and François Gallaire
    Journal of Fluid Mechanics, 2022
    DOI