Main category
Natural Sciences (Mathematics)
Abstract
*Quadratic Helicity in MHD*
We discuss the definitions and properties of the helicity χχ and of
the quadratic helicities \chi^{[2]} and \chi^{(2)} in MHD. A formula for
the practical computation of the quadratic helicity density χ(2)χ(2)
is presented. We also explain why the examples of geodesic flows by P.
Dehornoy determine magnetic fields in a 3D domain ΩΩ of minimal
magnetic energy with a constant helicity density and minimal quadratic
helicity: χ(2)=χ2/Vol(Ω)χ(2)=χ2/Vol(Ω). This is a joint result
with Simon Candelaresi and Alexandr Smirnov.
Do you have problems viewing the pdf-file? Download presentation
here
If the presentation contains inappropriate content, please
report the presentation. You will be redirected to the landing page.