0100487640

open access

Accepted Manuscript

Dissipative structures for the system of Moore–Gibson–Thompson thermoelasticity in the whole space

English (英語)

Mathematical Methods in the Applied Sciences

47(9)

7804-7818

John Wiley & Sons

2024-06

2025-03-05

Published Online: 2024-03-05

We investigate the dissipative structure for the system of Moore–Gibson–Thompson (MGT) thermoelasticity in the whole space. To analyze the dissipative structure, it is very useful to rewrite the equations into a symmetric hyperbolic system and apply the so-called stability condition. When we rewrite our system into the symmetric hyperbolic form in the multidimensional case, it is important to take the constraint conditions into account. Indeed, the stability condition with the constraint conditions guarantees the dissipative property for our system in some cases. In this paper, we introduce the stability condition with constraints for the general problem and apply this argument to the system of MGT thermoelasticity. Furthermore, we discuss the optimality of the decay estimates we obtain, together with the no regularity-loss phenomenon.

regularity-loss

学術雑誌論文

This is the peer reviewed version of the following article: [M. Pellicer, R. Quintanilla, and Y. Ueda, Dissipative structures for the system of Moore–Gibson–Thompson thermoelasticity in the whole space, Math. Meth. Appl. Sci. 47 (2024), 7804–7818], which has been published in final form at [https://doi.org/10.1002/mma.10003]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.