GLOBAL SMOOTH SOLUTION AND UNIFORM RATE OF DECAY IN NONLINEAR VISCOELASTICITY

Authors
Citation
Jem. Rivera, GLOBAL SMOOTH SOLUTION AND UNIFORM RATE OF DECAY IN NONLINEAR VISCOELASTICITY, Reviews in mathematical physics, 6(5), 1994, pp. 855-868
Citations number
13
Categorie Soggetti
Physycs, Mathematical
ISSN journal
0129055X
Volume
6
Issue
5
Year of publication
1994
Pages
855 - 868
Database
ISI
SICI code
0129-055X(1994)6:5<855:GSSAUR>2.0.ZU;2-P
Abstract
We prove a global existence theorem for the nonlinear viscoelastic equ ation for small data in H2. Moreover we prove that the solution decays exponentially in bounded domains when t goes to infinity.