Asymptotic Attractors Of Two-dimensional Generalized Benjamin-Bona-Mahony Equations∗
نویسندگان
چکیده
In this paper, we consider the long time behavior of solutions for two-dimensional generalized Benjamin-Bona-Mahony equations with periodic boundary conditions. By the method of orthogonal decomposition, we show that the existence of asymptotic attractor from the precision of approximate inertial manifolds. Moreover, the dimensions estimate of the asymptotic attractor is obtained.
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