Gael Raoul


Centre de Mathematiques Appliquees, Ecole Polytechnique,

Route de Saclay,

91128 Palaiseau Cedex, FRANCE.

Phone: +33 (0)1 69 33 45 66.

I am a permanent researcher (Charge de recherche CNRS) at the Centre de Mathematiques Appliquees at the Ecole Polytechnique (Paris), and an associated member of the Centre d'Ecologie Fonctionnelle et Evolutive in Montpellier (Team Evolutionary Ecology and Epidemiology). I work on mathematical models used in ecology and evolutionary biology. My main interests at the moment are:

You can find my CV here: CV, and my research ID is M-9794-2015.


Publications and preprints (*: biology articles):

[24] N. Berestycki, C. Mouhot, G. Raoul, Existence of self-accelerating fronts for a non-local reaction-diffusion equation, preprint.

[23] M. Alfaro, H. Berestycki, G. Raoul, The effect of climate shift on a species submitted to dispersion, evolution, growth and nonlocal competition, accepted in SIAM Journal on Mathematical Analysis.

[22] P. Magal, G. Raoul, Dynamics of a kinetic model for exchanges between cells, preprint.

[21*] R. Aguilee, G. Raoul, F. Rousset, O. Ronce, Pollen dispersal slows geographical range shift and accelerates ecological niche shift under climate change, Proceedings of the National Academy of Sciences of the United States of America 113(39), 5741-5748 (2016).

[20] A. Calsina, S. Cuadrado, L. Desvillettes, G. Raoul, Asymptotic profile in selection-mutation equations: Gauss versus Cauchy distributions, Journal of Mathematical Analysis and Applications 444(2), 1515-1541 (2016).

[19] Q. Griette, G. Raoul, Existence and qualitative properties of travelling waves for an epidemiological model with mutations, Journal of Differential Equations 260, 7115-7151 (2016).

[18*] Q. Griette, G. Raoul, S. Gandon, Virulence evolution at the front line of spreading epidemics, Evolution 11(69), 2810-2819 (2015).

[17] V. Calvez, G. Raoul, C. Schmeiser, Confinement by biased velocity jumps: aggregation of E. coli, Kinetic and Related Models 8(4), 651-666 (2015).

[16] P. Degond, A. Frouvelle, G. Raoul, Local stability of perfect alignment for a spatially homogeneous kinetic model, Journal of Statistical Physics 157(1), 84–112 (2014).

[15] M. Alfaro, J. Coville, G. Raoul, Bistable travelling waves for nonlocal reaction diffusion equations, Discrete and Continuous Dynamical Systems - Series A, 34(5), 1775-1791 (2014),

[14] M. Alfaro, J. Coville, G. Raoul, Travelling waves in a nonlocal equation as a model for a population structured by a space variable and a phenotypic trait, Communications in Partial Differential Equations, 38(12), 2126-2154 (2013),

[13] D. Balague, J.A.J. Carrillo, T. Laurent, G. Raoul, Dimensionality of local minimizers of the interaction energy, Archive for Rational Mechanics and Analysis 209(3), 105-1088 (2013),

[12] D. Balague, J.A.J. Carrillo, T. Laurent, G. Raoul, Nonlocal interactions by repulsive-attractive potentials: radial in/stability, Physica D 260, 5-25 (2013).

[11*] S. Mirrahimi, G. Raoul, Population structured by a space variable and a phenotypical trait, Theoretical Population Biology 84, 87-103 (2013),

[10] A. Calsina, S. Cuadrado, L. Desvillettes, G. Raoul, Asymptotics of steady states of a selection mutation equation for small mutation rate, Proceedings of the Royal Society of Edinburgh 143(06), 1123-1146 (2013).

[9] G. Raoul, Non-local interaction equations: stationary states and stability analysis, Differential and Integral Equations 25(5-6), 417-440 (2012)

[8] E. Bouin, V. Calvez,N. Meunier,S. Mirrahimi,B. Perthame, G. Raoul,R. Voituriez, Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration, Comptes Rendus Mathematiques de l'Academie des Sciences de Paris 350(15-16), 761-766 (2012),

[7] G. Raoul, Local stability of evolutionary attractors for continuous structured populations, Monatshefte fur Mathematik 165(1), 117-144 (2012),

[6] G. Raoul, Long time evolution of populations under selection and vanishing mutations, Acta Applicandae Mathematica 114(1-2), 1-14 (2011),

[5] P.E. Jabin, G. Raoul, On selection dynamics for competitive interactions, Journal of Mathematical Biology 63(3), 493-517 (2011),

[4] K. Fellner, G. Raoul, Stability of stationary states of non-local equations with singular interaction potentials, Mathematical and Computer Modelling 53(7-8), 1436-1450 (2011),

[3] K. Fellner, G. Raoul, Stable stationary states of non-local interaction equations, Mathematical Models and Methods in Applied Sciences, 20(12), 2267-2291 (2011),

[2] N. Champagnat, P.E. Jabin, G. Raoul, Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems, Comptes Rendus Mathematiques de l'Academie des Sciences de Paris 348(23-24), 1267-1272 (2010),

[1] L. Desvillettes, P.E. Jabin, S. Mischler, G. Raoul, On selection dynamics for continuous structured populations, Communications in Mathathematical Sciences 6(3), 729-747 (2008),