TY - JOUR
T1 - The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition
JO - Journal of Partial Differential Equations
VL - 3
SP - 226
EP - 234
PY - 2000
DA - 2000/08
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5509.html
KW - Global attractor
KW - gradient system
KW - steady states
AB -  We prove the existence of the global attractor of Sine-Gordon system with Dirichlet boundary condition and show the attractor is the unique steady state when the damping constant and the diffusion constant are sufficiently large.