摘要
在整体解的存在性的基础上,考虑带高阶非线性项的复Ginzburg-Landau方程的解的长时间行为。通过引入权空间,应用内插不等式和先验估计,获得复Ginzburg-Landau方程整体弱吸引子的存在性。进一步使用在权空间算子分解的方法,通过构造紧的正向不变吸收集,建立了整体强吸引子的存在性。
Based on the existence of the global solution, the long time behavior of complex Ginzburg-Landau equation with high order and nonlinear is considered. By introducing the weighted space,and applying interpolation inequality and a prior estimate, the existence of weak global attractor of complex Ginzburg-Landau equations is obtained. By furture using the method of decomposed operator in the weighted space and constructing asymptotic compact positively invariant sets, existence of strong global attractor is established.
出处
《广西工学院学报》
CAS
2004年第1期1-4,共4页
Journal of Guangxi University of Technology
