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arXiv
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21830 articles – 15616 references
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Bistable travelling waves for nonlocal reaction diffusion equations
Alfaro M., Coville J., Raoul G.
[hal-00800918 - version 1] (14/03/2013)
Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local
Alfaro M., Alifrangis P.
[hal-00800909 - version 1] (14/03/2013)
Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait
Alfaro M., Coville J., Raoul G.
[hal-00751647 - version 2] (30/11/2012)
Propagating interface in a monostable reaction-diffusion equation with time delay
Alfaro M., Ducrot A.
[hal-00735081 - version 1] (25/09/2012)
Rapid travelling waves in the nonlocal Fisher equation connect two unstable states
Alfaro M., Jérôme C.
Applied Mathematics Letters
(2012) 25 (2012), 2095-2099. [hal-00696102 - version 1]
On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data
Alfaro M., Matano H.
Discrete and Continuous Dynamical Systems - Series B
(2012) 17 (2012), 1639-1649. [hal-00641266 - version 1]
Interface dynamics of the porous medium equation with a bistable reaction term
Alfaro M., Hilhorst D.
Asymptotic Analysis
(2012) 76 (2012), 35-48. [hal-00609087 - version 1]
General fractal conservation laws arising from a model of detonations in gases
Alfaro M., Droniou J.
Applied Mathematics Research eXpress
(2012) 2 (2012), 127-151. [hal-00589587 - version 1]
Convergence to a propagating front in a degenerate Fisher-KPP equation with advection
Alfaro M., Logak E.
Journal of Mathematical Analysis and applications
(2012) 387 (2012), 251-266. [hal-00585231 - version 2]
Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature
Alfaro M., Droniou J., Matano H.
Journal of Evolution Equations
(2012) 12 (2012) 267-294. [hal-00544135 - version 1]
Sharp interface limit of the Fisher-KPP equation
Alfaro M., Ducrot A.
Communications on Pure and Applied Analysis
(2012) 11 (2012), 1-18. [hal-00423839 - version 1]
Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay
Alfaro M., Ducrot A.
Discrete and Continuous Dynamical Systems - Series B
(2011) 16 (2011), 15-29. [hal-00472212 - version 1]
Generation of interface for an Allen-Cahn equation with nonlinear diffusion
Alfaro M., Hilhorst D.
Math. Model. Nat. Phenom.
(2010) 5 (2010), no. 5, 1--12. [hal-00417485 - version 1]
Generation, motion and thickness of transition layers for a nonlocal Allen-Cahn equation
Alfaro M.
Nonlinear Anal.
(2010) 72 (2010), no. 7-8, 3324--3336. [hal-00392032 - version 1]
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation
Alfaro M., Garcke H., Hilhorst D., Matano H., Schatzle R.
Proc. Roy. Soc. Edinburgh Sect. A.
(2010) 140 (2010), no. 4, 673--706. [hal-00392029 - version 1]