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• W2057366087 startingPage "1871" @default.
• W2057366087 abstract "We study the long-time behavior of waves in a strongly heterogeneous medium, starting from the one-dimensional scalar wave equation with variable coefficients. We assume that the coefficients are periodic with period ε and ε > 0 is a small length parameter. Our main result concerns homogenization and consists in the rigorous derivation of two different dispersive models. The first is a fourth-order equation with constant coefficients including powers of ε. In the second model, the ε-dependence is completely avoided by considering a third-order linearized Korteweg–de Vries equation. Our result is that both simplified models describe the long-time behavior well. An essential tool in our analysis is an adaption operator which modifies smooth functions according to the periodic structure of the medium." @default.
• W2057366087 created "2016-06-24" @default.
• W2057366087 creator A5061136500 @default.
• W2057366087 date "2011-09-01" @default.
• W2057366087 modified "2023-09-27" @default.
• W2057366087 title "DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA" @default.
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• W2057366087 doi "https://doi.org/10.1142/s021820251100557x" @default.
• W2057366087 hasPublicationYear "2011" @default.
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