耗散广义对称正则长波方程的指数吸引子

Exponential attractor for dissipative generalized symmetric regularized long wave equation

该文考虑了带有耗散项的广义对称正则长波方程,用谱分解方法证明了指数吸引子的存在性,并得到了指数吸引子的分形维数的上界估计.

The dissipative generalized symmetric regularized long wave equation is considered.The existence of exponetially attractor is showed by using spectral decomposition method.The upper bounds of it's fractal dimension is obtained.