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Periodic Structure of 2-D Navier-Stokes Equations

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Abstract

We study in this article both the structure and the structural evolution of the solutions of 2-D Navier-Stokes equations with periodic boundary conditions and the evolution of their solutions. First the structure of all eigenvectors of the corresponding Stokes problem is lassified using a block structure, and is linked to the typical structure of the Taylor vortices. Then the structure of the solutions of the Navier-Stokes equations forced either by eigenmodes or by potential forcing is classified.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, P. R. China and Department of Mathematics, Indiana University, Bloomington, IN 47405, USA

    T. Ma

  2. Department of Mathematics, Indiana University, Bloomington, IN 47405, USA

    S. Wang

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  1. T. Ma
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  2. S. Wang
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Correspondence to S. Wang.

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Ma, T., Wang, S. Periodic Structure of 2-D Navier-Stokes Equations. J Nonlinear Sci 15, 133–158 (2005). https://doi.org/10.1007/s00332-004-0648-3

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  • DOI: https://doi.org/10.1007/s00332-004-0648-3

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