Initial Boundary Value Problem for Generalized 2D Complex Ginzburg-Landau Equation
Keywords:
Generalized 2D Ginzburg-Landau equation;initial boundary value problem;ε-regular map;global solution;global attractorAbstract
In this paper we study an initial boundary value problem for a generalized complex Ginzburg-Landau equation with two spatial variables (2D). Applying the notion of the ε-regular map we show the unique existence of global solutions for initial data with low regularity and the existence of the global attractor.
Published
2007-02-02
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Initial Boundary Value Problem for Generalized 2D Complex Ginzburg-Landau Equation. (2007). Journal of Partial Differential Equations, 20(1), 65-70. https://www.global-sci.com/index.php/jpde/article/view/4090