TY - JOUR
T1 - Global Solutions and Their Large-time Behavior of Cauchy Problem for Equations of Deep Water Type
JO - Journal of Partial Differential Equations
VL - 1
SP - 1
EP - 41
PY - 1996
DA - 1996/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5607.html
KW - Large time behavior
KW - Benjamin-Ono type equations
KW - global attractor
AB -  We consider the large time behavior of the global solution of the Cauchy problem for the equation of Benjamin-Ono type. A series of large-time global estimates for Cauchy problem arc constructed. By means of the obtained global estimates uniformly for 0 ≤ t < ∞, the attractors of the Cauchy problem for the mentioned nonlinear equations are considered. And also the dimensions of the global attractor are estimated.