Spatial behaviour of solutions of the Moore-Gibson-Thompson equation

Ostoja-Starzewski, Martin; Quintanilla de Latorre, Ramón

doi:10.1007/s00021-021-00629-4

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Ostoja-Starzewski, Martin

Quintanilla de Latorre, Ramón

Document typeArticle

Defense date2021-11

PublisherSpringer Nature

Rights accessOpen Access

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

ProjectANALISIS MATEMATICO APLICADO A LA TERMOMECANICA (AEI-PID2019-105118GB-I00)

Abstract

In this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, we show that the solutions also decay exponentially in certain directions.

CitationOstoja-Starzewski, M.; Quintanilla, R. Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. "Journal of Mathematical Fluid Mechanics", Novembre 2021, vol. 23, núm. 4, article 105.

URIhttp://hdl.handle.net/2117/355708

DOI10.1007/s00021-021-00629-4

ISSN1422-6952

Publisher versionhttps://link.springer.com/article/10.1007%2Fs00021-021-00629-4

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