ASYMPTOTIC INERTIAL MANIFOLD OF SINE-GORDON EQUATION  

作　　者：徐振源 刘曾荣 

机构地区：[1]Wuxi Light Industry Institute, Wuxi 214036, PRC [2]Department of Mathematics, Suzhou University, Suzhou 215006, PRC [3]LNM, Institute of Mechanics, Academia Sinica, Beijing 100080, PRC

出　　处：《Chinese Science Bulletin》1992年第22期1933-1934,共2页

基　　金：Project supported by the National Natural Science Foundation of China

摘　　要：The numerical results on Sine-Gordon equation show that the dynamical behaviour of this equation is determin.ed by reduced dimensionality. Some theoretic analysis is made on the basis of the fact of dynamics being determined by reduced dimensionality, but this fact has not been proved in mathematics. Ref. [2] has proved that there is a compact attractor with finite Hausdorff dimensions and Fractal dimensions in Sine-Gordon equation. The existenee of inertial manifold of this equation is not yet proved. Ref. [3] gives the proof of nonexistence of inertial manifold in Sine-Gordon equation with weak damp. In this letter, we consider the

关 键 词：dimensionality dimensions MANIFOLD HAUSDORFF Fractal behaviour dynamical LETTER INERTIAL 比用 

分 类 号：N[自然科学总论]