Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation.
Willie, Robert (2003)
Journal of Applied Mathematics
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Willie, Robert (2003)
Journal of Applied Mathematics
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Selmi, Ridha (2006)
International Journal of Mathematics and Mathematical Sciences
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E. N. Dancer, Shusen Yan (2004)
Annales de l'I.H.P. Analyse non linéaire
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Holden, H., Karlsen, K.H., Mitrovic, D. (2009)
International Journal of Differential Equations
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Grégoire Allaire, Guillaume Bal, Vincent Siess (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we study the homogenization and localization of a spectral transport equation posed in a locally periodic heterogeneous domain. This equation models the equilibrium of particles interacting with an underlying medium in the presence of a creation mechanism such as, for instance, neutrons in nuclear reactors. The physical coefficients of the domain are -periodic functions modulated by a macroscopic variable, where is a small parameter. The mean free path of the particles...
Thomas Alazard, Rémi Carles (2009)
Annales de l'I.H.P. Analyse non linéaire
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