Olivier Couronné, Lucas Gerin (2014)
Annales de l'I.H.P. Probabilités et statistiques
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We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by Bérard and Gouéré [ (2010) 323–342]. The proof is based on a connection with a supercritical Galton–Watson process at a certain level.
Lisl Weynans, Adrien Magni (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we analyze the consistency, the accuracy and some entropy properties of particle methods with remeshing in the case of a scalar one-dimensional conservation law. As in [G.-H. Cottet and L. Weynans, (2006) 51–56] we re-write particle methods with remeshing in the finite-difference formalism. This allows us to prove the consistency of these methods, and accuracy properties related to the accuracy of interpolation kernels....
Mathieu Colin, Thierry Colin (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, (2004) 297–330; Colin and Colin, (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect...
Quentin Berger, Fabio Lucio Toninelli (2013)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the hierarchical disordered pinning model studied in ( (1992) 1189–1213), which exhibits a localization/delocalization phase transition. In the case where the disorder is i.i.d. (independent and identically distributed), the question of relevance/irrelevance of disorder (i.e. whether disorder changes or not the critical properties with respect to the homogeneous case) is by now mathematically rather well understood ( (2010) 159–175, ...
Chokri Chniti (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we certify that the same approach proposed in previous works by Chniti [ (2006) 883–886; (2008) 111–147; (2009) 207–228] can be applied to more general operators with strong heterogeneity in the coefficients. We consider here the case of reaction-diffusion problems with piecewise constant coefficients. The problem reduces to determining the coefficients of some transmission conditions to obtain fast convergence of domain...