证明了带加法噪音扰动的Benjamin-Bona-Mahony方程的随机吸引子在H10(Q)的拓扑下在零点处的上半连续性.在方法上,尾部估计、正交投影和Kuratowski测度是证明系统一致Omega紧性的关键.
It has been investigated that the family of random attractors fo r Benjamin-Bona-Mahony (B BM ) equation perturbed by the additive noise on unbounded domains is upper semi-continuous at zero point un-der the topology of HJ (Q). The methods of ta i l-estimates, canonical projection and K uratowski measure are essential for the uniform Omega-compactness of systems.