EXPONENTIAL STABILITY FOR A CONTACT PROBLEM IN THERMOELASTICITY

Authors
RIVERA JEM OLIVEIRA MD
Citation
Jem. Rivera et Md. Oliveira, EXPONENTIAL STABILITY FOR A CONTACT PROBLEM IN THERMOELASTICITY, IMA journal of applied mathematics, 58(1), 1997, pp. 71-82
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
IMA journal of applied mathematics → ACNP
ISSN journal
02724960
Volume
58
Issue
1
Year of publication
1997
Pages
71 - 82
Database
ISI
SICI code
0272-4960(1997)58:1<71:ESFACP>2.0.ZU;2-4
Abstract
We consider the unilateral problem for the thermoelastic equation and we show that the solution decays exponentially to zero as time goes to infinity; that is, denoting by E(t) the first-order energy of the sys tem, we show that positive constants C and gamma exist which satisfy E (t) less than or equal to CE(0)e(-gamma t).