This special volume consists of survey contributions based on a series of lectures
delivered at the Eleventh International School on Mathematical Theory in Fluid
Mechanics, held in a small village of Kácov in the central part of Bohemia. The
main speakers who delivered series of four lectures were
Martin Oberlack , Technical
University Darmstadt,
Steve Shkoller, University of California at Davis,
Endre Süli,
Mathematical Institute of Oxford University,
Roman Shvydkoy, University of Illinois
at Chicago, and
Alexis Vasseur, University of Texas at Austin. Details concerning
the scope and program of the school are available at the web-page
www.karlin.mff.cuni.cz/paseky-fluid/2009/
Martin Oberlack and Andreas Rosteck in New statistical symmetries of the multipoint
equations and its importance for turbulent scaling laws show that the infinite
set of multi-point correlation equations, which are direct statistical implications of
the Navier-Stokes equations, admit a vast set of Lie symmetry groups. In particular,
a new scaling group and translational groups of vectors and all independent variables
are discovered. These new statistical groups provide important implications for
understanding turbulent scaling laws.
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