MULTIDIMENSIONAL CONTACT PROBLEMS IN THERMOELASTICITY

Authors
RIVERA JEM RACKE R
Citation
Jem. Rivera et R. Racke, MULTIDIMENSIONAL CONTACT PROBLEMS IN THERMOELASTICITY, SIAM journal on applied mathematics, 58(4), 1998, pp. 1307-1337
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics → ACNP
ISSN journal
00361399
Volume
58
Issue
4
Year of publication
1998
Pages
1307 - 1337
Database
ISI
SICI code
0036-1399(1998)58:4<1307:MCPIT>2.0.ZU;2-U
Abstract
We consider dynamical and quasi-static thermoelastic contact problems in R-n modeling the evolution of temperature and displacement in an el astic body that may come into contact with a rigid foundation. The exi stence of solutions to these dynamical and quasi-static nonlinear prob lems and the exponential stability are investigated using a penalty me thod. Interior smoothing effects in the quasi-static case are also dis cussed.