Applied Mathematics and Mechanics

, Volume 24, Issue 3, pp 326–337 | Cite as

IMD based nonlinear Galerkin method

  • Hou Yan-ren
  • Li Kai-tai


By taking example of the 2D Navier-Stokes equations, a kind of improved version of the nonlinear Galerkin method of Marion-Temam type based on the new concept of the inertial manifold with delay (IMD) is presented, which is focused on overcoming the defect that the feasibility of the M-T type nonlinear Galerkin method heavily depended on the least solving scale. It is shown that the improved version can greatly reduce the feasible conditions as well as preserve the superiority of the former version. Therefore, the version obtained here is an applicable, high performance and stable algorithm.

Key words

nonlinear Galerkin method inertial manifold with delay Navier-Stokes equation 

Chinese Library Classification


2000 MR Subject Classification

65M12 65M70 76D05 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Hou Yan-ren
    • 1
  • Li Kai-tai
    • 1
  1. 1.College of ScienceXi'an Jiaotong UniversityXi'anPR China

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