Global well-posedness for the critical dissipative quasi-geostrophic equations in L???

  • Bae H
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Abstract

In this paper, we study the critical dissipative quasi-geostrophic equations in scaling invariant spaces. We prove that there exists a global-in-time small solution for small initial data ??0???L?????? H1 such that (??0)???L???, where is the Riesz transform. As a corollary, we prove that if in addition, ??0???B???,q0, 1???q

Author-supplied keywords

  • Besov spaces
  • Critical quasi-geostrophic equations
  • LittlewoodPaley decomposition
  • Oseen kernel
  • Scaling invariant spaces

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