Professor of applied maths at
the Laboratoire of Mathématiques
Raphaël Salem (LMRS),
UMR CNRS 6085, Université de Rouen Normandie, France.
Email address: firstname.familyname@univ-rouen.fr
M. A. and D. Hilhorst, Interface
dynamics
of the porous medium equation with a bistable reaction term,
Asymptot. Anal. 76
(2012), 35--48.
M. A. and E. Logak, Convergence
to a propagating front in a degenerate Fisher-KPP equation with
advection, J. Math. Anal. Appl. 387
(2012), 251--266.
M. A. and A. Ducrot, Sharp
interface limit of the Fisher-KPP equation, Comm. Pure
Appl.Anal. 11 (2012),
1--18.
M. A. and A. Ducrot, Sharpinterface limit of the Fisher-KPP
equation when initial data haveslow
exponential decay, Discrete Contin. Dyn. Syst. Ser.
B. 16 (2011), 15--29.
M. A., H. Garcke, D. Hilhorst, H. Matano and R. Schatzle, Motion
by anisotropic mean curvature as sharp interface limit of an
inhomogeneous and anisotropic Allen-Cahn equation,
Proc. Roy. Soc. Edinburgh Sect. A. 140
(2010), 673--706.
M. A. and D. Hilhorst, Generation
of
interface for an Allen-Cahn equation with nonlinear diffusion,
Math. Model. Nat. Phenom. 5
(2010), 1--12.
M. A., Generation, motion
and thickness of transition layers for a nonlocal Allen-Cahn
equation, Nonlinear Anal. 72
(2010), 3324--3336.
M. A., D. Hilhorst and H. Matano, The
singular limit of the Allen-Cahn equation and theFitzHugh-Nagumo
system, J. Differential Equations 245
(2008), 505--565.
M. A., The singular limit
of a chemotaxis-growth system with general initial data,
Adv. Differential Equations 11
(2006), 1227--1260.
PhD
students:
Nessim Dhaouadi, ongoing PhD Sept. 2022- (with A. Blouza).
Gwenaël
Peltier,
Mathematical analysis of nonlocal models in evolutionary ecology,
(with O. Ronce), PhD defended June 2021.
Claire Godineau, Influence de
l'homogamie sur l'adaptation des plantes au changement climatique,
(with O. Ronce and C. Devaux), PhD defended Nov. 2021.
Mario
Veruete, Mathematical
analysis of nonlocal models in population dynamics, PhD
defended June 2019.
Quentin
Griette, Mathematical
models for evolutionary epidemiology, (with S. Gandon and
G. Raoul), PhD defended June 2017.
Pierre Alifrangis, Interfaces,
in classical or generalized sense, as singular limit of
reaction-diffusion equations, with or without comparison
principle, PhD defended Sept. 2013.
Supervised
Post-Doc:
Florian Lavigne, (with L. Roques), Post-Doc 2022-2023 (21 months).
Dongyuan Xiao, Modélisation mathématique de la diffusion de
l'agriculture au Néolithique (MOMAGRI), (with M. Raymond),
Post-Doc 2020-2021 (18 months).
Alvaro
Mateos Gonzalez, Asexual
adpatation under mutation selection and drift: stochastic and
deterministic dynamics, (with G. Martin and B. Cloez),
Post-Doc 2017-2019 (18 months).
Mathématiques pour Individus
affrontant des CHangements d'Environnements Latents
(MICHEL). Head of project of I-site MUSE, 2018-2021.
Propagation of fronts in
cooperative microbial populations. Indo-french project
IFCAM with G. Raoul and S. Roy, 2015-2017.
Interfaces Dynamics in Evolution
Equations (IDEE). Head of project, ANR JCJC
2011-2014, with P. Alifrangis, J. Droniou, A. Ducrot, N. Forcadel
and C. Imbert.
Member of GDRI ReaDiNet
(Reaction-Diffusion Network in Mathematics and Biomedicine).