TY - JOUR T1 - Global Solutions and Their Large-time Behavior of Cauchy Problem for Equations of Deep Water Type AU - Yulin Zhou & Boling Guo 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.