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

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10.1007/s00021-021-00629-4
 
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hdl:2117/355708

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Ostoja-Starzewski, Martin
Quintanilla de Latorre, RamónMés informacióMés informacióMés informació
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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  • Departament de Matemàtiques - Articles de revista [2.973]
  • GRAA - Grup de Recerca en Anàlisi Aplicada - Articles de revista [141]
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