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math.FA2013
A theorem on measures in dimension 2 and applications to vortex sheets
Tomasz Cieslak, Marta Szumanska
We find conditions under which measures belong to . Next we show that measures generated by Prandtl, Kaden as well as Pullin spirals, objects considered by physicists as incompress…
math.FA2011★ 7 cited
Minimal Hölder regularity implying finiteness of integral Menger curvature
Sławomir Kolasiński, Marta Szumańska
We study two families of integral functionals indexed by a real number . One family is defined for 1-dimensional curves in and the other one is defined for -dimens…