Open AccessThe global attractor of nonlinear thermoelastic coupled Sine-Gordon system
Author(s) -
Jianwen Zhang,
Yi Ren,
Wu Run-Heng,
Tao Feng
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.110404
Subject(s) - attractor , nonlinear system , boundary value problem , invariant (physics) , sine , thermoelastic damping , mathematical analysis , physics , nonlinear dynamical systems , dynamical systems theory , sine gordon equation , classical mechanics , mathematics , mathematical physics , quantum mechanics , thermodynamics , geometry , soliton , thermal
The dynamical behavior of a class of coupled system to the Sine-Gordon equations with the Peierls-Nabarro force is considered in this paper. First, the existence of the continuous solution is shown in the semi-group approach, under the certain initial-boundary value condition. Then, using the decomposing technique of semi-group, we construct the compact positively invariant sets, and the global attractor is proved.