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math.APSep 17, 2018
authors
  • Mimi Dai
  • Han Liu
arXiv abstractPDF
paper

Application of harmonic analysis techniques to regularity problems of dissipative equations

arXiv:1809.06454

Abstract

We discuss recent advances in the regularity problem of a variety of fluid equations and systems. The purpose is to illustrate the advantage of harmonic analysis techniques in obtaining sharper conditional regularity results when compared to classical energy methods.

References in corpus (8)

  • Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
  • On the regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations
  • The Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations
  • Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
  • Blow-up for a Three Dimensional Keller-Segel Model with Consumption of Chemoattractant
  • Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions
  • Regularity criteria for the 3D Navier-Stokes and MHD equations
  • Low modes regularity criterion for a chemotaxis-Navier-Stokes system
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