Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation.
Willie, Robert (2003)
Journal of Applied Mathematics
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Displaying similar documents to “Random modulation of solitons for the stochastic Korteweg–de Vries equation”
Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation.
Topological sensitivity analysis for time-dependent problems
Boris Vexler, Takéo Takahashi, Samuel Amstutz (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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The topological sensitivity analysis consists in studying the behavior of a given shape functional when the topology of the domain is perturbed, typically by the nucleation of a small hole. This notion forms the basic ingredient of different topology optimization/reconstruction algorithms. From the theoretical viewpoint, the expression of the topological sensitivity is well-established in many situations where the governing p.d.e. system is of elliptic type. This paper focuses on the...
A general class of phase transition models with weighted interface energy
E. Acerbi, G. Bouchitté (2008)
Annales de l'I.H.P. Analyse non linéaire
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Convergence results for MHD system.
Selmi, Ridha (2006)
International Journal of Mathematics and Mathematical Sciences
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Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
Patrick Joly, Sébastien Tordeux (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this article, we derive a complete mathematical analysis of a coupled 1D-2D model for 2D wave propagation in media including thin slots. Our error estimates are illustrated by numerical results.