The radiation condition at infinity for the high-frequency Helmholtz equation with source term: a wave packet approach

François Castella

Displaying similar documents to “The radiation condition at infinity for the high-frequency Helmholtz equation with source term: a wave packet approach”

Limiting behavior of global attractors for singularly perturbed beam equations with strong damping

Daniel Ševčovič (1991)

Commentationes Mathematicae Universitatis Carolinae

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The limiting behavior of global attractors $𝒜_{ε}$ for singularly perturbed beam equations $ε^{2} \frac{\partial^{2} u}{\partial t^{2}} + ε δ \frac{\partial u}{\partial t} + A \frac{\partial u}{\partial t} + α A u + {g (∥ u ∥}_{1 / 4}^{2}) A^{1 / 2} u = 0$ is investigated. It is shown that for any neighborhood $𝒰$ of $𝒜_{0}$ the set $𝒜_{ε}$ is included in $𝒰$ for $ε$ small.

Random modulation of solitons for the stochastic Korteweg–de Vries equation

A. de Bouard, A. Debussche (2007)

Annales de l'I.H.P. Analyse non linéaire

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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.