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The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand.
Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.
Authors: Ivanovici, Oana
Article Type: Research Article
Citation: Asymptotic Analysis, vol. 53, no. 4, pp. 189-208, 2007
Authors: Cioranescu, Doina | Donato, Patrizia | Zaki, Rachad
Article Type: Research Article
Abstract: In this paper, we apply the periodic unfolding method in perforated domains introduced by Cioranescu et al. (Portugal. Math. 63(4) (2006), 467–496) to a class of elliptic problems with nonlinear conditions on the boundary of the holes. A new compactness result will play a major role in the homogenization process and provides correctors without using any extension operator.
Citation: Asymptotic Analysis, vol. 53, no. 4, pp. 209-235, 2007
Authors: Joly, Romain
Article Type: Research Article
Abstract: This article shows how to use perturbation methods to get new examples of evolutionary partial differential equations with gradient-like structure. In particular, we investigate the case of the wave equation with a variable damping satisfying the geometric control condition only, and the case of the wave equation with a damping of indefinite sign.
Keywords: gradient structure, gradient-like systems, perturbation methods, damped wave equation, indefinite damping
Citation: Asymptotic Analysis, vol. 53, no. 4, pp. 237-253, 2007
Article Type: Other
Citation: Asymptotic Analysis, vol. 53, no. 4, pp. 255-256, 2007
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