TY - JOUR
T1 - Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations
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 - <p>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.</p>