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Meccanica
Erschienen in: Meccanica 6/2023

16.07.2022 | General

Boundary controllability for the 1D Moore–Gibson–Thompson equation

verfasst von: Carlos Lizama, Sebastián Zamorano

Erschienen in: Meccanica | Ausgabe 6/2023

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Abstract

This article addresses the boundary controllability problem for a class of third order in time PDE, known as Moore–Gibson–Thompson equation, with a control supported on the boundary. It is shown that it is not spectrally controllable, which means that nontrivial finite linear combination of eigenvectors can be driven to zero in finite time. This implies that the Moore–Gibson–Thompson equation is not exact and null controllable. However, the approximate controllability will be proved.
Vorheriger Artikel A two-dimensional magnetohydrodynamic system: geometric decomposition and canonical reduction
Nächster Artikel Artificial viscosity—then and now

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Metadaten
Titel
Boundary controllability for the 1D Moore–Gibson–Thompson equation
verfasst von
Carlos Lizama
Sebastián Zamorano
Publikationsdatum
16.07.2022
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 6/2023
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-022-01551-3

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