Publication: Time-fractional Moore–Gibson–Thompson e...
Master data
Title: | Time-fractional Moore–Gibson–Thompson equations |
Subtitle: | |
Abstract: | In this paper, we consider several time-fractional generalizations of the Jordan–Moore–Gibson–Thompson (JMGT) equations in nonlinear acoustics as well as their linear Moore–Gibson–Thompson (MGT) versions. Following the procedure described in Jordan (2014), these time-fractional acoustic equations are derived from four fractional versions of the Maxwell–Cattaneo law in Compte and Metzler (1997). Additionally to providing well-posedness results for each of them, we also study the respective limits as the fractional order tends to one, leading to the classical third order in time (J)MGT equation. |
Keywords: | Applied Mathematics, Modeling and Simulation |
Publication type: | Article in journal (Authorship) |
Publication date: | 30.04.2022 (Online) |
Published by: |
Mathematical Models and Methods in the Applied Sciences
Mathematical Models and Methods in the Applied Sciences
(
World Scientific Publishing (UK) Ltd.;
)
to publication |
Title of the series: | - |
Volume number: | 32 |
Issue: | 05 |
First publication: | Yes |
Version: | - |
Page: | pp. 965 - 1013 |
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Keine Version vorhanden |
Publication date: | 30.04.2022 |
ISBN (e-book): | - |
eISSN: | 1793-6314 |
DOI: | http://dx.doi.org/10.1142/s0218202522500221 |
Homepage: | - |
Open access |
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Publication date: | 05.2022 |
ISBN: | - |
ISSN: | 0218-2025 |
Homepage: | - |
Assignment
Organisation | Address | ||||
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Fakultät für Technische Wissenschaften
Institut für Mathematik
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AT - 9020 Klagenfurt am Wörthersee |
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Peer reviewed |
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Cooperations
Organisation | Address | ||
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Radboud-Universität Nijmegen
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NL - 6525 XZ Nijmegen |
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