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Contribution of the functional formulation of the problem of turbulence to the process of its algebraization

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Summary

The progressive development of the theory of turbulence is based on the formalism of characteristic functionals. Drawing on an incomplete analogy between the Hopf equation for these functionals and the equation for the quantized boson field, a system of fundamental principles of the theory of turbulence is proposed. This represents a set of statements which can be used in an attempt to classify the theory in the sense of its algebraization and, therefore, also its axiomatization.

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Horák, J. Contribution of the functional formulation of the problem of turbulence to the process of its algebraization. Stud Geophys Geod 22, 177–183 (1978). https://doi.org/10.1007/BF01614042

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