Long Time Behavior of Navier-Stokes Equations for Two-Dimensional Exterior Domains

Chunshan Zhao, Kaitai Li

Research output: Contribution to journalArticlepeer-review

Abstract

考查了二维外区域上具有无穷远均匀来流Navier-Stokes方程的近似长时间行为,用带线性阻尼的Navier-Oseen方程的长时间行为近似Navier-Stokes方程长时间行为.在外力项满足适当加权条件下,证明了带线性阻尼Navier-Oseen方程强解的存在唯一性及全局吸引子的存在性,并给出了其Hausdorff及Fractal维数的上界估计.
Original languageAmerican English
JournalJournal of Xi'an Jiaotong University
Volume33
StatePublished - 2000

Disciplines

  • Mathematics

Keywords

  • Navier-Stokes Equations
  • Two-dimensional Exterior Domains

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