Statistical properties of nonlinear shell models of turbulence from linear advection models: rigorous results

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Statistical properties of nonlinear shell models of turbulence from linear advection models: rigorous results

In a recent paper it was proposed that for some nonlinear shell models of turbulence one can construct a linear advection model for an auxiliary field such that the scaling exponents of all the structure functions of the linear and nonlinear fields coincide. The argument depended on an assumption of continuity of the solutions as a function of a parameter. The aim of this paper is to provide a ...

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ژورنال

عنوان ژورنال: Nonlinearity

سال: 2007

ISSN: 0951-7715,1361-6544

DOI: 10.1088/0951-7715/20/6/006