In this paper, the existence of the periodic solutions for a forced Burgers equation coupled to a non-homogeneous Ginzburg-Landau equation is proved by Leray-Schauder fixed point theorem and Galerkin method under appr...In this paper, the existence of the periodic solutions for a forced Burgers equation coupled to a non-homogeneous Ginzburg-Landau equation is proved by Leray-Schauder fixed point theorem and Galerkin method under appropriate conditions.展开更多
In this paper we consider the Burger-Ginzburg-Landau equations, and prove the existence of the global attractor in with finite Hausdorff and fractal dimensions.
文摘In this paper, the existence of the periodic solutions for a forced Burgers equation coupled to a non-homogeneous Ginzburg-Landau equation is proved by Leray-Schauder fixed point theorem and Galerkin method under appropriate conditions.
基金the Scientific Research Foundation for Returned Overseas Chinese Scholars. State Education Commission.
文摘In this paper we consider the Burger-Ginzburg-Landau equations, and prove the existence of the global attractor in with finite Hausdorff and fractal dimensions.
