Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation

@article{Constantin2008RegularityOH,
  title={Regularity of H{\"o}lder continuous solutions of the supercritical quasi-geostrophic equation},
  author={P. Constantin and J. Wu},
  journal={Annales De L Institut Henri Poincare-analyse Non Lineaire},
  year={2008},
  volume={25},
  pages={1103-1110}
}
  • P. Constantin, J. Wu
  • Published 2008
  • Mathematics
  • Annales De L Institut Henri Poincare-analyse Non Lineaire
  • Abstract We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ( α 1 / 2 ) dissipation ( − Δ ) α : If a Leray–Hopf weak solution is Holder continuous θ ∈ C δ ( R 2 ) with δ > 1 − 2 α on the time interval [ t 0 , t ] , then it is actually a classical solution on ( t 0 , t ] . 
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