Lagrangian theory for 3D vortex sheets with axial or helical symmetry
نویسندگان
چکیده
منابع مشابه
Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry∗
Consider a three-dimensional vortex sheet in inviscid, incompressible flow which is irrotational away from the sheet. We derive an equation for the evolution of a vortex sheet in Lagrangian coordinates, i.e. an equation that is restricted to the sheet itself and is analogous to the Birkhoff-Rott equation for a two-dimensional (planar) sheet. This general equation is specialized to sheets with a...
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The main purpose of this work is to establish existence of a weak solution to the incompressible 2D Euler equations with initial vortic-ity consisting of a Radon measure with distinguished sign in H ?1 , compactly supported in the closed right-half-plane, superimposed to its odd reeection in the left-half-plane. We make use of a new a pri-ori estimate to control the interaction between positive...
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ژورنال
عنوان ژورنال: Transport Theory and Statistical Physics
سال: 1992
ISSN: 0041-1450,1532-2424
DOI: 10.1080/00411459208203798