二维广义Burgers方程解的长时间行为(英)

Long -Time Behavior of Solution of Generalized Burgers Equations in Two Dimensions

研究了二维广义Burgers方程解的长时间行为，在一些条件下证明了整体解和整体吸引子的存在性。最后，证明了由Galerkin谱逼近生成的离散系统的吸引子收敛到原始系统的吸引子。

The authors study long-time behavior of solution of generalizcd Burgers equations in two dimensions,the global solution and global attractor are exitent for the equation under some conditions.Finally the authors prove that the attractor by Galerkin spectral approximation is convergent.