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Global Solutions and Their Large-time Behavior of Cauchy Problem for Equations of Deep Water Type |
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| Authors: | Yulin Zhou & Boling Guo |
| Abstract: | 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. |
| Keywords: | Large time behavior Benjamin-Ono type equations global attractor |
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