A fully updated list of publications can be found on HAL

§undergraduate student.

Preprints


  • L. Coeuret
    Nonlinear orbital stability of stationary discrete shock profiles for scalar conservation laws (PDF)

  • G. Griette and H. Matano
    Front propagation in hybrid reaction-diffusion epidemic models with spatial heterogeneity (PDF)

  • G. Faye and M. Zhao
    The threshold phenomena for propagation in fractional Laplacian diffusion equations (PDF)

  • L. Girardin, T. Giletti and H. Matano
    Spreading properties of the Fisher--KPP equation when the intrinsic growth rate is maximal in a moving patch of bounded size (PDF)

  • L. Coeuret
    Linear stability of discrete shock profiles for systems of conservation law (PDF)

  • J.-B. Burie, A. Ducrot and Q. Griette
    Epidemic models in measure spaces: persistence, concentration and oscillations (PDF)

  • L. Girardin
    Persistence, extinction and spreading properties of non-cooperative Fisher--KPP systems in space-time periodic media (PDF)

  • G. Faye, J.-M. Roquejoffre and M. Zhang
    Spreading properties in Kermack - McKendrick models with nonlocal spatial interactions – A new look – (PDF)

  • A. Salort, S. Terracini, G. Verzini and A. Zilio
    Rotating Spirals in segregated reaction-diffusion systems (PDF)

    • Publications


  • L. Girarding and I. Mazari
    Generalized principal eigenvalues of space-time periodic, weakly coupled, cooperative, parabolic systems (PDF)
    Mémoires de la SMF, in press (2024)

  • F. Hamel and M. Zhang
    KPP transition fronts in a one-dimensional two-patch habitat (PDF)
    Mathematical Medicine and Biology, in press (2024)

  • G. Faye, L.M. Rodrigues, Z. Yang and K. Zumbrun
    Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow (PDF)
    Archive for Rational Mechanics and Analysis, vol 248, no 82, (2024)

  • J.-F. Coulombel and G. Faye
    The local limit theorem for complex valued sequences: the parabolic case (PDF)
    Comptes Rendus, Mathématique, in press (2024)

  • L. Coeuret
    Local limit theorem for complex valued sequences (PDF)
    Asymptotic Analysis, in press (2024)

  • G. Griette, P. Magal and M. Zhao
    Traveling waves with continuous profile for hyperbolic Keller-Segel equation (PDF)
    European Journal of Applied Mathematics, (2024), pp 1-29.

  • Q. Griette, C. Henderson and O. Turanova
    Speed-up of traveling waves by negative chemotaxis (PDF)
    Journal of Functional Analysis, vol 285, issue 10 (2023)

  • J.-B. Burie, A. Ducrot and Q. Griette
    Asymptotic behavior of an epidemic model with infinitely many variants (PDF)
    Journal of Mathematical Biology, vol 87, no 40 (2023)

  • T. Giletti
    Propagating fronts and terraces in multistable reaction-diffusion equations (PDF)
    Proceedings Journées EDP 2023

  • T. Giletti and H.-Y. Kim
    Convergence to a terrace solution in multistable reaction-diffusion equations with discontinuities (PDF)
    Nonlinear Analysis: Real World Applications, vol 74 (2023)

  • G. Faye, G. Fouilhé§ and R. VanRullen
    Mathematical derivation of wave propagation properties in hierarchical neural networks with predictive coding feedback dynamics (PDF)
    Bulletin of Mathematical Biology, vol 85, no 80 (2023) , pp. 1-75

  • L. Coeuret
    Tamed stability of finite difference schemes for the transport equation on the half-line (PDF)
    Mathematics of Computation, in press (2023) , pp. 1-44

  • G. Faye and L.M. Rodrigues
    Exponential asymptotic stability of Riemann shocks of hyperbolic systems of balance laws (PDF)
    SIAM J. Math. Anal., in press (2023) , pp. 1-33

  • C. Besse, G. Faye, J.-M. Roquejoffre and M. Zhang
    The logarithmic Bramson correction for Fisher-KPP equations on the lattice Z (PDF)
    Trans. Amer. Math. Soc.,, in press (2023) , pp. 1-68

  • T. Giletti and J.-S. Guo
    Forced waves of a three species predator-prey system with a pair of weak-strong competing preys in a shifting environment. (PDF)
    Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3820-3836 (2023).

  • L. Girardin and B. Maucourt
    Agro-ecological control of a pest-host system: Preventing spreading (PDF)
    SIAM Journal on Applied Mathematics, 2023, 83(3), 1172-1195.

  • C. Besse, A. Capel§, G. Faye and G. Fouilhé§
    Asymptotic behavior of nonlocal bistable reaction-diffusion equations (PDF)
    Discrete and Continuous Dynamical Systems Series B, vol 28, issue 12 (2023) , pp. 5967-5997

  • T. Giletti
    Monostable pulled fronts and logarithmic drifts (PDF)
    Nonlinear Differential Equations and Applications, vol 29, no 35, (2022).

  • T. Giletti, H.-Y. Kim, and Y.-J. Kim
    Terrace solutions for non-Lipschitz multistable nonlinearities (PDF)
    SIAM Math. Analysis, 2022, in press.

  • M. Alfaro, T. Giletti, Y.-J. Kim, G. Peltier and H. Seo
    On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals (PDF)
    Journal of Mathematical Biology, 2022, 84 (5), pp.No. 38.

  • J-F. Coulombel and G. Faye
    Generalized Gaussian bounds for discrete convolution powers (PDF)
    Revista Matematica Iberoamericana, in press (2022) , pp. 1-50

  • G. Faye, T. Giletti and M. Holzer
    Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity (PDF)
    Discrete and Continuous Dynamical Systems Series S, in press (2021) , pp. 1-35

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