TY - JOUR
T1 - Long Time Behavior of the Dissipative Generalized Symmetric Regularized Long Wave Equations
JO - Journal of Partial Differential Equations
VL - 1
SP - 35
EP - 45
PY - 2002
DA - 2002/02
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5439.html
KW - Symmetric regularized long wave equation
KW - dissipative term
KW - periodic initial value problem
KW - global attractors
KW - Hausdorff dimension
KW - fractal dimension
AB -  This paper deals with the long time behavior of solutions for the dissipative generalized symmetric regularized long wave equations. We show the existence of global weak attractors for the periodic initial value problem of the equations in H¹ × L². The finite dimensionality of the global attractors is also established.