机构地区: 华南农业大学珠江学院
出 处: 《湖南文理学院学报(自然科学版)》 2010年第3期9-11,共3页
摘 要: 为研究系数与时间有关的一维非线性耦合Ginzburg-Landau方程组在周期边界条件下整体吸引子的存在性,采用经典的Galerkin逼近方法,得到了方程组在周期边界条件下整体解的存在性及唯一性,再利用能量方法,证明了整体吸引子的存在性. In order to study the global attractors of one dimensional nonlinear coupled Ginzburg-Landau equations witb variable coefficients under the periodic boundary conditions, the existence and uniqueness of solution to the equations with boundary condition are proved by using the method of the classical Galerkin approximation method. And thus, the existence of global attractor is obtained by using energy method.