Global Solutions and Their Large-time Behavior of Cauchy Problem for Equations of Deep Water Type

Global Solutions and Their Large-time Behavior of Cauchy Problem for Equations of Deep Water Type

Year:    1996

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 1 : pp. 1–41

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JPDE-5607

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 1 : pp. 1–41

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    41

Keywords:    Large time behavior