Antoine Pauthier
Enseignant en classes préparatoires
Enseignant en classes préparatoires
Je suis actuellement enseignant en ECG1 (mathématiques approfondies) au lycée Saint-Jean de Passy. J'interviens aussi en ECG1 (mathématiques appliquées) à Ipesup pour l'année scolaire. Vous trouverez mon CV français ici, plus ou moins à jour.
L'objectif de cette page est de répertorier mes anciens travaux de recherche.
During the academic year 2019-2020 I was a post-doctoral researcher at the University of Bremen in the Applied Analysis and Nonlinear Dynamics group, supervised by Prof. Dr. Jens Rademacher. Previously I was a Dunham Jackson Assistant Professor at the University of Minnesota (2016-2019). I defended my PhD thesis from Toulouse University "Two examples of reaction-diffusion front propagation in heterogeneous media" in 2016, supervised by Henri Berestycki and Jean-Michel Roquejoffre. The manuscript is available here.
apauthie-at-gmail-dot-com
With Peter Polacik: Large-time behavior of solutions of parabolic equations on the real line with convergent initial data III: unstable limit at infinity, PDEA 3, 48 (2022), ArXiv.
With Jens Rademacher and Dennis Ulbrich: Weak and strong interaction of excitation kinks in scalar parabolic equations, to appear in J Dyn Diff Equation, ArXiv.
With Peter Polacik: Large-time behavior of solutions of parabolic equations on the real line with convergent initial data II: equal limits at infinity, Journal de Mathématiques Pures et Appliquées 153 (2021), 137-186, ArXiv.
With Arnd Scheel: Advection-diffusion dynamics with nonlinear boundary flux as a model for crystal growth, Math. Nachr. 293 (2020), no. 8, ArXiv.
With Peter Polacik: Large-time behavior of solutions of parabolic equations on the real line with convergent initial data, Nonlinearity 31 (2018), 4423-4441, ArXiv.
Entire solution in cylinder-like domains for a bistable reaction-diffusion equation, J Dyn Diff Equations (2018) 30: 1273, ArXiv.
The influence of a line with fast diffusion and nonlocal exchange terms on Fisher-KPP propagation,"Comm. in Math. Sciences 2 (2016) 535-570, ArXiv.
Uniform dynamics for Fisher-KPP propagation driven by a line of fast diffusion under a singular limit, Nonlinearity 28 (2015) 3891-3920, ArXiv.
Road-field RD system: a new threshold for long range exchanges, a short note about infemum for the spreading speed for the systems considered above, ArXiv.