The Global Attractors for the Periodic Initial Value Problem of Generalized Kuramoto-Sivashinsky Type Equations in Multi-dimensions

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Abstract

The existence of global attractors for the periodic initial value problem of generalized Kuramoto-Sivashinsky type equations in multi-dimensions is proved. We also get the estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors by means of a uniform priori estimates for time.

Keywords:

The global attractors; Hausdorff dimensions; fractal dimensions
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The Global Attractors for the Periodic Initial Value Problem of Generalized Kuramoto-Sivashinsky Type Equations in Multi-dimensions. (1993). Journal of Partial Differential Equations, 6(3), 217-236. https://www.global-sci.com/index.php/jpde/article/view/3746