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Local Regularity for the Landau Equation (with Coulomb Interaction Potential)

  • François Golse,
  • Cyril Imbert

摘要

This is a survey of our recent work with A. Vasseur [arXiv:2206.05155] on the local regularity of some class of weak solutions of the space homogeneous Landau equation with Coulomb singularity. Our main result is that any axisymmetric solution in this class is smooth outside the axis of symmetry.