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  • 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


    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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