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The Global Attractor of Navier-Stokes Equations With Linear Dampness on the Whole Two-Dimensional Space and Estimates of Its Dimensions
Acta Mathematicae Applicatae Sinica (2000)
  • Chunshan Zhao
  • Kaitai Li, Xi'an Jiaotong University
Abstract
The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated. The existence of global attractor of the equations was proved under only condition f(x) E (L2(R2))2. Moreover, the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.
Keywords
  • Navier-stokes Equations,
  • Linear Dampness,
  • Whole Two-dimensional Space
Disciplines
Publication Date
2000
Citation Information
Chunshan Zhao and Kaitai Li. "The Global Attractor of Navier-Stokes Equations With Linear Dampness on the Whole Two-Dimensional Space and Estimates of Its Dimensions" Acta Mathematicae Applicatae Sinica Vol. 23 Iss. 1 (2000) p. 90 - 98 ISSN: 0254-3079
Available at: http://works.bepress.com/chunshan_zhao/35/