Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations
Keywords:
The generalized long-short wave equations;a uniform priori estimate;global attractor;Hausdorff dimension;fractal dimensionAbstract
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.
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2005-08-02
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Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations. (2005). Journal of Partial Differential Equations, 18(3), 206-218. https://global-sci.com/index.php/jpde/article/view/4045