Global regularity for a BirkhoffRott- approximation of the dynamics of vortex sheets of the 2D Euler equations Academic Article uri icon

abstract

  • We present an -regularization of the Birkhoff-Rott equation, induced by the two-dimensional Euler- equations, for the vortex sheet dynamics. We show that an initially smooth self-avoiding vortex sheet remains smooth for all times under the -regularized dynamics, provided the initial density of vorticity is an integrable function over the curve with respect to the arc-length measure. 2008 Elsevier B.V. All rights reserved.

published proceedings

  • Physica D: Nonlinear Phenomena

author list (cited authors)

  • Bardos, C., Linshiz, J. S., & Titi, E. S.

citation count

  • 9

complete list of authors

  • Bardos, Claude||Linshiz, Jasmine S||Titi, Edriss S

publication date

  • August 2008