Title
Smooth dynamics of weakly damped Lamé systems with delay
Date Issued
01 January 2021
Access level
metadata only access
Resource Type
journal article
Author(s)
University of Brasília
Publisher(s)
Society for Industrial and Applied Mathematics Publications
Abstract
The Lamé system is a classical model for isotropic elasticity and has important applications in seismology. In the present paper, we study the longtime dynamics of weakly damped Lamé systems that exhibit interior delay effects on the velocity. The main result establishes, under nonlinear forces of critical growth, the existence of a smooth finite dimensional global attractor. To the best of our knowledge, this result is new even for scalar wave equations.
Start page
3759
End page
3771
Volume
53
Issue
4
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85110618809
Source
SIAM Journal on Mathematical Analysis
ISSN of the container
00361410
Sponsor(s)
The work of the authors was partially supported by the FEDER-Junta de Andalucía project P18-FR-4509. The work of the first author was partially supported by the CNPq grant 312529/2018-0 and the FAPESP grant 2019/11824-0. The work of the second author was partially supported by the CNPq grant 307582/2018-3. The work of the third author was supported by the INCTMat-CAPES grant 88887.507829/2020-00.
\ast Received by the editors October 21, 2020; accepted for publication (in revised form) March 29, 2021; published electronically July 9, 2021. https://doi.org/10.1137/20M1374948 Funding: The work of the authors was partially supported by the FEDER-Junta de Andaluc\{\'i}a project P18-FR-4509. The work of the first author was partially supported by the CNPq grant 312529/2018-0 and the FAPESP grant 2019/11824-0. The work of the second author was partially supported by the CNPq grant 307582/2018-3. The work of the third author was supported by the INCTMat-CAPES grant 88887.507829/2020-00.
Sources of information:
Directorio de Producción Científica
Scopus