Published 1998 | Version v1
Journal article Metadata-only

Reflections of one-dimensional oscillations

Junca, Stéphane
Other:
Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)

Description

We prove the propagation of oscillations with an asymptotic development for an oscillating initial boundary value problem of semilinear hyperbolic systems in the spirit of J.L.Joly, G.Métivier and J.Rauch. In particular we simplify the Joly-métivier-Rauch's proof for the Cauchy problem. Then, we show the new phenomenon of localised oscillations.

Abstract

International audience

Additional details

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Created:
February 28, 2023
Modified:
November 30, 2023