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Asymptotic analysis of abstract two-scale wave propagation problems

Abstract : This work addresses the mathematical analysis, by means of asymptotic analysis, of linear wave propagation problems involving two scales, represented by a single small parameter, and written in an abstract setting. This abstract setting is defined using linear operators in Hilbert spaces and also enters the framework of semi-group theory. In this setting, we show, under some assumptions on the structure of the wave propagation problems, weak and strong convergence of solutions with respect to the small parameter towards the solution of a well-defined limit problem.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03306856
Contributor : Sébastien Imperiale Connect in order to contact the contributor
Submitted on : Thursday, July 29, 2021 - 12:15:50 PM
Last modification on : Monday, June 27, 2022 - 3:05:40 AM
Long-term archiving on: : Saturday, October 30, 2021 - 6:21:07 PM

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  • HAL Id : hal-03306856, version 1

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Sébastien Imperiale. Asymptotic analysis of abstract two-scale wave propagation problems. 2021. ⟨hal-03306856⟩

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