Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (4): 828-840.

• Articles • Previous Articles     Next Articles

Uniform Attractors for the 2D Non-Autonomous Navier-Stokes Equation with Weak Damping

 YANG Xin-Guang, WANG Hong-Jun, LI Jun-Tao   

  1. College of Mathematical and Informational Science, Henan Normal University, Henan Xinxiang 453007
  • Received:2013-09-06 Revised:2014-05-16 Online:2014-08-25 Published:2014-08-25
  • Supported by:

    国家自然科学基金(11326154,  61203293)、河南师范大学人才基金(qd12104, 2012GGJS-063)、河南省科技厅自然科学基金(122300410414, 132300410432)和河南省科技攻关项目(122102210131)资助

Abstract:

In this present paper, we study the long-time behavior for the 2D non-autonomous Navier-Stokes equation with damping that governs the motion of an
incompressible fluid. Under suitable assumptions on the non-autonomous external force f(t, x) and initial data uτ, we show the existence of uniform attractors for the 2D non-autonomous Navier-Stokes equation with linear damping by weak continuous method.

Key words: Navier-Stokes equations with damping, Process, Uniform attractor

CLC Number: 

  • 35L60
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