Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

Inventiones mathematicae volume 167, pages 445–453 (2007)Cite this article

Abstract

We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity.

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Author information

Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, WI, 53706, USA

    A. Kiselev

  2. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA

    F. Nazarov & A. Volberg

Authors
  1. A. Kiselev
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  2. F. Nazarov
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  3. A. Volberg
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Corresponding authors

Correspondence to A. Kiselev or F. Nazarov or A. Volberg.

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Mathematics Subject Classification (1991)

Primary: 35Q35; Secondary: 76U05

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Kiselev, A., Nazarov, F. & Volberg, A. Global well-posedness for the critical 2D dissipative quasi-geostrophic equation. Invent. math. 167, 445–453 (2007). https://doi.org/10.1007/s00222-006-0020-3

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Keywords

  • Singular Integral Operator
  • Dissipative Evolution
  • Periodic Initial Data
  • Thermal Active Scalar
  • Unique Global Smooth Solution