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Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation

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Abstract

We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.

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Authors and Affiliations

  1. Department of Mathematics, University of Southern California, 3620 South Vermont Ave., KAP 108, Los Angeles, CA, 90089, USA

    Susan Friedlander & Vlad Vicol

  2. Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, TX, 78712, USA

    Nataša Pavlović

Authors
  1. Susan Friedlander
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  2. Nataša Pavlović
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  3. Vlad Vicol
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Correspondence to Nataša Pavlović.

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Communicated by P. Constantin

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Friedlander, S., Pavlović, N. & Vicol, V. Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation. Commun. Math. Phys. 292, 797–810 (2009). https://doi.org/10.1007/s00220-009-0851-z

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