On the Global Attractor of Generalized Ginzburg-Landau Equation in One Spatial Dimension

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Abstract

The target of this paper is the long time behaviour of solutions for a generalized Ginzburg-Landau equation on IR. The authors establish the existence of a global attractor of finite Hausdorff and fractal dimension in a weighted Hilbert space for the equation.

Keywords:

Global attractor;Hausdorff dimension;Fractal dimension;Generalized Ginzburg-Landau equation
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On the Global Attractor of Generalized Ginzburg-Landau Equation in One Spatial Dimension. (2020). Journal of Partial Differential Equations, 16(4), 335-346. https://global-sci.com/index.php/jpde/article/view/4009