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On a Nonlinear Recurrent Relation

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Abstract

We study the limiting behavior for the solutions of a nonlinear recurrent relation which arises from the study of Navier-Stokes equations (Li and Sinai in J. Eur. Math. Soc. 10(2):267–313, 2008). Some stability theorems are also shown concerning a related class of linear recurrent relations.

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References

  1. Li, D., Sinai, Ya.G.: Blow ups of complex solutions of the 3D-Navier-Stokes system. J. Eur. Math. Soc. 10(2), 267–313 (2008)

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Authors and Affiliations

  1. School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, NJ, 08540, USA

    Dong Li

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  1. Dong Li
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Correspondence to Dong Li.

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This material is based upon work supported by the National Science Foundation under agreement No. DMS-0111298. Any options, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

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Li, D. On a Nonlinear Recurrent Relation. J Stat Phys 134, 681–700 (2009). https://doi.org/10.1007/s10955-009-9691-7

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  • DOI: https://doi.org/10.1007/s10955-009-9691-7

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