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On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction.
- Source :
-
Asymptotic Analysis . 2021, Vol. 126 Issue 1/2, p95-127. 33p. - Publication Year :
- 2021
-
Abstract
- In the present paper we consider the Standard Linear Solid model in R N coupled with the Cattaneo law of heat conduction. We show the well-posedness and asymptotic stability of the problem, giving decay rates for a norm related to the solution. These results are compared with those given for the Fourier problem in (Pellicer and Said-Houari (2020)) and the ones of the problem without heat conduction (see previous work (Appl Math. Optim80 (2019) 447–478)). The main difference is that the Cattaneo system exhibits the well-known regularity-loss phenomenon. The methods used to prove these results are the energy method in the Fourier space and the eigenvalues expansion method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HEAT conduction
*SEPARATION of variables
*SOLIDS
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 09217134
- Volume :
- 126
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Asymptotic Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 153409330
- Full Text :
- https://doi.org/10.3233/ASY-201666