Initial Boundary Value Problem for Generalized 2d Complex Ginzburg–landau Equation*
نویسندگان
چکیده
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.
منابع مشابه
Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to non integrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the 2D Ginzburg-Landau equation.
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