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hal-00174999v2  Article dans une revue
Matthieu AlfaroDanielle HilhorstHiroshi MatanoThe singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system
Journal of Differential Equations, Elsevier, 2008, 245, pp.505-565
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hal-00609087v1  Article dans une revue
Matthieu AlfaroDanielle HilhorstInterface dynamics of the porous medium equation with a bistable reaction term
Asymptotic Analysis, IOS Press, 2012, pp.76 (2012), 35-48
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hal-00585231v2  Article dans une revue
Matthieu AlfaroElisabeth LogakConvergence to a propagating front in a degenerate Fisher-KPP equation with advection
Journal of Mathematical Analysis and applications, Elsevier, 2012, pp.387 (2012), 251-266
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tel-00134258v1  Thèse
Matthieu AlfaroConvection-reaction-diffusion systems and interface dynamics
Mathematics [math]. Université Paris Sud - Paris XI, 2006. English
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hal-00417485v1  Article dans une revue
Matthieu AlfaroDanielle HilhorstGeneration of interface for an Allen-Cahn equation with nonlinear diffusion
Math. Model. Nat. Phenom., 2010, pp.5 (2010), no. 5, 1--12
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hal-00392032v1  Article dans une revue
Matthieu AlfaroGeneration, motion and thickness of transition layers for a nonlocal Allen-Cahn equation
Nonlinear Anal., 2010, pp.72 (2010), no. 7-8, 3324--3336
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hal-01399269v1  Pré-publication, Document de travail
Matthieu AlfaroRémi CarlesReplicator-mutator equations with quadratic fitness
12 pages. 2016
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hal-00373864v2  Article dans une revue
Matthieu AlfaroTHE SINGULAR LIMIT OF A CHEMOTAXIS-GROWTH SYSTEM WITH GENERAL INITIAL DATA
Advances in Differential Equations, Khayyam Publishing, 2006, pp.Adv. Differential Equations 11 (2006), no. 11, 1227--1260
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hal-00696102v1  Article dans une revue
Matthieu AlfaroJérôme CovilleRapid travelling waves in the nonlocal Fisher equation connect two unstable states
Applied Mathematics Letters, Elsevier, 2012, pp.25 (2012), 2095-2099
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hal-00589587v1  Article dans une revue
Matthieu AlfaroJerome DroniouGeneral fractal conservation laws arising from a model of detonations in gases
Applied Mathematics Research eXpress, Oxford University Press (OUP): Policy H - Oxford Open Option A, 2012, pp.2 (2012), 127-151
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hal-00989559v1  Article dans une revue
Matthieu AlfaroRémi CarlesExplicit solutions for replicator-mutator equations: extinction vs. acceleration
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2014, 74 (6), pp.1919-1934. <10.1137/140979411>
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hal-00423839v1  Article dans une revue
Matthieu AlfaroArnaud DucrotSharp interface limit of the Fisher-KPP equation
Communications on Pure and Applied Mathematics, Wiley, 2012, pp.11 (2012), 1-18
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hal-00472212v1  Article dans une revue
Matthieu AlfaroArnaud DucrotSharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2011, pp.16 (2011), 15-29
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hal-00641266v1  Article dans une revue
Matthieu AlfaroHiroshi MatanoOn the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2012, pp.17 (2012), 1639-1649
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hal-00544135v1  Article dans une revue
Matthieu AlfaroJérôme DroniouHiroshi MatanoConvergence rate of the Allen-Cahn equation to generalized motion by mean curvature
Journal of Evolution Equations, Springer Verlag, 2012, pp.12 (2012) 267-294