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\noindent{\bf Mathematisches Oberseminar} {\it PDG und
Spektraltheorie} (WiSe 2015/16).

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\noindent{\bf Date:} 17.12.2015.

\noindent{\bf Time and place:} 14:15 in B 134.

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\noindent{\bf Speaker:} Tomasz Cie\'{s}lak (IMPAN Warsaw).

\noindent{\bf Titel:} {\it Spirals of vorticity, a measure theory point of view.}

\noindent{\bf Abstract:}

\noindent  In my talk I will treat a special type of vortex
sheets, spirals of vorticity, as time-dependent Borel measures $\mu_t$
satisying a condition $\mu_t(B(0,r))=C(t)r^{\alpha}$ for some $C(t),
\alpha>0$. It turns out that Prandtl spirals satisfy the above
condition, I will also discuss physical arguments suggesting that
Kaden spirals should also satisfy it. Next I will show that such
measures have locally finite kinetic energy, I will discuss the
relation of such measures with the so-called Morrey measures. \\
\noindent 
The talk
will be based on the results in T. Cieslak, M.Szumanska JFA 2014,
G. Jamroz CRAS 2015. 


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Thomas {\O}stergaard S{\o}rensen

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