ATTRACTOR AND DIMENSION FOR STRONGLY DAMPED NONLINEAR WAVE EQUATION  

作　　者：周盛凡 

出　　处：《Acta Mathematicae Applicatae Sinica》2000年第3期266-273,共8页应用数学学报（英文版）

摘　　要：In this paper, we prove the existence of the global attractor and obtain an estimate of the upper bound of Hausdorff dimension of the attractor for strongly damped nonlinear wave equation with Dirichlet boundary condition by introducing a new norm. The Hausdorff dimension obtained remains small for large damping, which conforms to the physical intuition.In this paper, we prove the existence of the global attractor and obtain an estimate of the upper bound of Hausdorff dimension of the attractor for strongly damped nonlinear wave equation with Dirichlet boundary condition by introducing a new norm. The Hausdorff dimension obtained remains small for large damping, which conforms to the physical intuition.

关 键 词：Wave equation global attractor Hausdorff dimension equivalent norm 

分 类 号：O411.1[理学—理论物理]