The Global Attractor of Navier-Stokes Equations With Linear Dampness on the Whole Two-Dimensional Space and Estimates of Its Dimensions

Chunshan Zhao, Kaitai Li

Research output: Contribution to journalArticlepeer-review

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.
Original languageAmerican English
JournalActa Mathematicae Applicatae Sinica
Volume23
StatePublished - 2000

Disciplines

  • Mathematics

Keywords

  • Linear Dampness
  • Navier-stokes Equations
  • Whole Two-dimensional Space

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