Global existence and attractors for the two-dimensional Burgers-Ginzburg- Landau equations
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Authors
Changhong Guo
- School of Management, Guangdong University of Technology, Guangzhou 510520, P. R. China.
Shaomei Fang
- Department of Mathematics, South China Agricultural University, Guangzhou 510640, P. R. China.
Abstract
This paper investigates the periodic initial value problem for the two-dimensional Burgers-Ginzburg-Landau (2D Burgers-
GL) equations, which can be derived from the so-called modulated modulation equations (MME) that govern the dynamics of
the modulated amplitudes of some periodic critical modes. The well-posedness of the solutions and the global attractors for the
2D Burgers-GL equations are obtained via delicate a priori estimates, the Galerkin method, and operator semigroup method.
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ISRP Style
Changhong Guo, Shaomei Fang, Global existence and attractors for the two-dimensional Burgers-Ginzburg- Landau equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3123--3135
AMA Style
Guo Changhong, Fang Shaomei, Global existence and attractors for the two-dimensional Burgers-Ginzburg- Landau equations. J. Nonlinear Sci. Appl. (2017); 10(6):3123--3135
Chicago/Turabian Style
Guo, Changhong, Fang, Shaomei. "Global existence and attractors for the two-dimensional Burgers-Ginzburg- Landau equations." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3123--3135
Keywords
- invex set
- well-posedness
- global attractors
- a priori estimates.
MSC
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