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Thermal convection with generalized friction

Straughan, Brian

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Authors

Brian Straughan



Abstract

A model for thermal convection with generalized friction is investigated. It is shown that the linear instability threshold is the same as the global stability one. In addition, decay of the energy in the L2 norm is shown for the perturbation velocity and temperature fields. However, due to the presence of the generalized friction we establish exponential decay in the Lβ+1 norm for the perturbation temperature, where β > 1.

Citation

Straughan, B. (2022). Thermal convection with generalized friction. Annali dell'Universita di Ferrara, 68(1), 63-68. https://doi.org/10.1007/s11565-021-00382-6

Journal Article Type Article
Acceptance Date Dec 2, 2021
Online Publication Date Dec 17, 2021
Publication Date 2022-05
Deposit Date Jul 5, 2022
Publicly Available Date Jul 5, 2022
Journal ANNALI DELL'UNIVERSITA' DI FERRARA
Print ISSN 0430-3202
Electronic ISSN 1827-1510
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 68
Issue 1
Pages 63-68
DOI https://doi.org/10.1007/s11565-021-00382-6

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.




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