TY - JOUR T1 - Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations AU - Ruifeng Zhang & Boling Guo JO - Journal of Partial Differential Equations VL - 3 SP - 206 EP - 218 PY - 2005 DA - 2005/08 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5356.html KW - The generalized long-short wave equations KW - a uniform priori estimate KW - global attractor KW - Hausdorff dimension KW - fractal dimension AB -

The long time behavior of the solutions of the generalized long-short wave equations with dissipation term is studied. The existence of global attractor of the initial periodic boundary value is proved by means of a uniform a priori estimate for time. And also the dimensions of the global attractor are estimated.