Research interests:

Reaction-diffusion equations arising in population dynamics and epidemiology

Qualitative properties, Traveling fronts, Front propagation

Sharp asymptotics

Preprints:

• Sharp asymptotics for the KPP equation with some front-like initial data. (pdf)

• (with Samuel Tréton) The influence of an inward-shifting boundary on the heat equation in half-space. (pdf)

• (with Xing Liang, Lei Zhang) The influence of advection on the propagation phenomena of reaction-diffusion equations with KPP-bistable nonlinearity. (pdf)

• (with Grégory Faye, Jean-Michel Roquejoffre) Spreading properties in Kermack - McKendrick models with nonlocal spatial interactions – A new look. (pdf)

Publications:

• (with François Hamel) KPP transition fronts in a one-dimensional two-patch habitat (special issue dedicated to Professor James D. Murray), Math. Med. Biol., in press. (pdf)

• (with Christophe Besse, Grégory Faye, Jean-Michel Roquejoffre) The logarithmic Bramson correction for Fisher-KPP equations on the lattice Z, Trans. Amer. Math. Soc. 376 (2023), 8553-8619. (pdf)

• (with François Hamel) Reaction-diffusion fronts in funnel-shaped domains, Adv. Math. 412 (2023), 108807. (pdf)

• (with François Hamel, Frithjof Lutscher) Propagation and blocking in a two-patch reaction-diffusion model, J. Math. Pures Appl. 168 (2022), 213-267. (pdf) 

• (with François Hamel, Frithjof Lutscher) Propagation phenomena in periodic patchy landscapes with interface conditions (in memory of Professor Pavol Brunovský), J. Dyn. Diff. Equations 36 (2024), 435-486. (pdf) 

• Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat, Journal of Differential Equations, 304 (2021), 191-228. (pdf)

• (with Michel Chipot) On some model problem for the propagation of interacting species in a special environment, Discrete Contin. Dyn. Syst. Ser. A,  41 (2021), 3141-3161. (pdf)

• (with Claude-Michel Brauner, Luca Lorenzi) Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface, Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), 581–604. (pdf)

Seminar and colloquium talks:

2025   BIRS Workshop - Emerging Connections between Reaction-Diffusion, Branching Processes, and Biology, Banff, Canada, May 18-23.

2025   ANR Reach Journées 2025 , CAMS, EHESS, Paris, April 2-3.

2024   BIRS Workshop - Propagation and stability in evolution equations, UBC Okanagan, Canada, May 26-31.

2024   Orléans Seminar, Institut Denis Poisson, Orléans, April 18.

2024   EDPAN Seminar, LMBP, Université Clermont Auvergne, Clermont-Ferrand, April 4.

2024   LMAH Seminar, Université Le Havre Normandie, Le Havre, March 28.

2024   Journées Jeunes EDPistes en France, Université Paul Sabatier, Toulouse, March 20-22. 

2023   Workshop - Pattern dynamics appearing in reaction-diffusion systems, Meiji University, Tokyo, August 26.

2023   ICIAM, Minisymposium: Pattern dynamics appearing in mathematical biology, Waseda University, Tokyo, August 20-25.

2022   A ReaDiNet seminar day on reaction-diffusion systems in biology, Université de Lorraine, Nancy, November 21.

2022   Workshop on parabolic and kinetic models in population dynamics, Université Paul Sabatier, Toulouse, September 26-30. 

2022   MAC Seminar, Toulouse, May 31.

2021   Young Women in PDEs and Applications, Bonn (Zoom), Germany, September 20-22.

2021   Nonlinear Dynamics Seminar (Fall 2021, MUN), Memorial University of Newfoundland (Zoom), Canada, September 19.

2020   Nonlinear Dynamics Seminar (Fall 2020, MUN), Memorial University of Newfoundland (Zoom), Canada, November 27.

2020   Nonlinear Dynamics Seminar (winter 2020, MUN), Memorial University of Newfoundland (Zoom), Canada, April 7.&14.

2019   International Conference on Elliptic and Parabolic Problems, Gaeta, Italy, May 20-24.