SMOOTH DYNAMICS OF WEAKLY DAMPED LAME SYSTEMS WITH DELAY

Ma, To Fu; Mesquita, Jaqueline G.; Seminario-Huertas, Paulo N.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

SMOOTH DYNAMICS OF WEAKLY DAMPED LAME SYSTEMS WITH DELAY

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Author(s):	Ma, To Fu ^[1] ; Mesquita, Jaqueline G. ^[1] ; Seminario-Huertas, Paulo N. ^[1] Total Authors: 3
Affiliation:	^[1] Univ Brasilia, Dept Math, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	SIAM JOURNAL ON MATHEMATICAL ANALYSIS; v. 53, n. 4, p. 3759-3771, 2021.
Web of Science Citations:	0
Abstract
The Lame 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 Lame 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. (AU)

FAPESP's process:	19/11824-0 - Dynamics of semilinear wave equations with localized damping
Grantee:	Ma To Fu
Support Opportunities:	Regular Research Grants

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