Global regularity for a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations

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.

authors

• Titi, Edriss

published proceedings

• PHYSICA D-NONLINEAR PHENOMENA

author list (cited authors)

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

citation count

• 11

complete list of authors

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

publication date

• August 2008

publisher

• Elsevier  Publisher

published in

• Physica D : Non-linear phenomena  Journal

keywords

• Birkhoff-rott Regularization
• Birkhoff-rott-alpha
• Inviscid Regularization Of Euler Equations
• Vortex Sheet Regularization

Digital Object Identifier (DOI)

• 10.1016/j.physd.2008.01.003

start page

• 1905

end page

• 1911

volume

• 237

issue

• 14-17

URL

• http://dx.doi.org/10.1016/j.physd.2008.01.003