HAUSDORFF_DIMENSION

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Global attractor of 2D autonomous g-Navier-Stokes equations被引量：4
《Applied Mathematics and Mechanics(English Edition)》2013年第3期385-394,共10页姜金平 王小霞 
Project supported by the National Natural Science Fundation of China (No. 11171269);the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2012JM1012);the Scientific Research Program Funded by Shaanxi Provincial Education Department (No. 12JK0849)
In this paper, the existence of global attractors for the 2D autonomous g- Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the ...
关键词：global attractor g-Navier-Stokes equation bounded absorbing set semi-group multi-connected bounded domain Hausdorff dimension 
Maximal speed of particles in super-Lévy process
《Applied Mathematics and Mechanics(English Edition)》2008年第4期517-525,共9页林正炎 程宗毛 
Project supported by the National Natural Science Foundation of China(No.10571159);the Ph.D.Programs Foundation of Ministry of Education of China(No.20060335032);and the Foundation of Hangzhou Dianzi University(No.KYS091506042)
We introduce a super-Lévy process and study maximal speed of all particles in the range and the support of the super-Lévy process. The state of historical super-Lévy process is a measure on the set of paths. We stu...
关键词：super-Lévy process modulus of continuity Hausdorff dimension Lévy process a-fast path Brownian motion 
Hausdorff dimension of set generated by exceptional oscillations of a class of N-parameter Ganssian processes
《Applied Mathematics and Mechanics(English Edition)》2007年第2期237-245,共9页林正炎 程宗毛 
Project supported by the National Natural Science Foundation of China(No.10571159);the Doctoral Foundation of Ministry of Education of China(No.20060335032)
A class of N-parameter Gaussian processes are introduced, which are more general than the N-parameter Wiener process. The definition of the set generated by exceptional oscillations of a class of these processes is gi...
关键词：N-parameter Gaussian process modulus of continuityl Hausdorff dimension 
ATTRACTORS OF NONAUTONOMOUS SCHR?DINGER EQUATIONS
《Applied Mathematics and Mechanics(English Edition)》2001年第2期180-189,共10页刘玉荣 刘曾荣 郑永爱 
The long-time behaviour of a two-dimensional nonautonomous nonlinear Schrodinger equation is considered. The existence! of uniform attractor is proved and the upper bound of the uniform attractor's Housdorff dimension...
关键词：nonautonomous Schrodinger equations uniform attractor Hausdorff dimension 
THE CONDITION FOR APPLYING SLIT ISLAND METHOD
《Applied Mathematics and Mechanics(English Edition)》1997年第5期463-470,共8页魏毅强 李庆士 蔡中民 
In this paper, in view of the discussion of the Hausdorff and Box fractal dimensions and measures which are frequently applied, the concept of the girth to area normal ratio is introduced for the first time and the co...
关键词：Hausdorff dimensions Hausdorff measures box dimensions girth to area normal ratio SIM 
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