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Nonlinear Instability for the Navier-Stokes Equations

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Abstract

It is proved, using a bootstrap argument, that linear instability implies nonlinear instability for the incompressible Navier-Stokes equations in L p for all p ∈ (1,∞) and any finite or infinite domain in any dimension n.

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Authors and Affiliations

  1. Department of Mathematics Statistics and Computer Science, University of Illinois, Chicago, IL, (m/c 249) 60607, USA

    Susan Friedlander & Roman Shvydkoy

  2. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Nataša Pavlović

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  1. Susan Friedlander
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  2. Nataša Pavlović
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  3. Roman Shvydkoy
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Correspondence to Roman Shvydkoy.

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Communicated by P. Constantin

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Friedlander, S., Pavlović, N. & Shvydkoy, R. Nonlinear Instability for the Navier-Stokes Equations. Commun. Math. Phys. 264, 335–347 (2006). https://doi.org/10.1007/s00220-006-1526-7

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  • DOI: https://doi.org/10.1007/s00220-006-1526-7

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