Transition layer for the heterogeneous Allen–Cahn equation
Fethi Mahmoudi, Andrea Malchiodi, Juncheng Wei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “On the curvature and torsion effects in one dimensional waveguides”
Transition layer for the heterogeneous Allen–Cahn equation
Two-scale convergence of Stekloff eigenvalue problems in perforated domains.
Douanla, Hermann (2010)
Boundary Value Problems [electronic only]
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Homogenization of thin piezoelectric perforated shells
Marius Ghergu, Georges Griso, Houari Mechkour, Bernadette Miara (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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We rigorously establish the existence of the limit homogeneous constitutive law of a piezoelectric composite made of periodically perforated microstructures and whose reference configuration is a thin shell with fixed thickness. We deal with an extension of the Koiter shell model in which the three curvilinear coordinates of the elastic displacement field and the electric potential are coupled. By letting the size of the microstructure going to zero and by using the periodic unfolding...
Homogenization and localization in locally periodic transport
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...