Titlebook: Nonlinear, Nonlocal and Fractional Turbulence; Alternative Recipes Peter William Egolf,Kolumban Hutter Book 2020 Springer Nature Switzerla

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Introduction,doning this locality concept by the introduction of an extended mixing length that was treated in agreement with Boussinesq as a constant. Furthermore, Prandtl (1925) had already applied an approximation of this model that depends on the modulus of the mean rate of strain—the second mean rate of str

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,Reynold’s Averaging of the Navier–Stokes Equations (RANS),ters. For a detailed introduction and treatment of this subtle theme and the three filters, see, e.g., Hutter and Wang (.). Following Reynolds, let us apply the statistical filter. It is based on the assumption that, on a local scale, the fluctuations have the properties of a quasi-stationary random

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Conclusions and Outlook,etical curiosity to understand nature or may have ecological or/and economic goals as our motivation; in the end we believe that one day a complete picture will be constructed by a large amount of different ideas, but the solution of the millennium prize problem (Clay 2000) is just a single (however

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Book 2020on of Kraichnan’s energy-enstrophy spectrum that is in harmony with non-extensive and non-equilibrium thermodynamics (Tsallis thermodynamics) and experiments. Furthermore, the presented theories of turbulence reveal critical and cooperative phenomena in analogy with phase transitions in other physic

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Peter William Egolf,Kolumban Hutterr either the first or third question in the affirmative, a totalitarian conclusion could well be justified. If, however, they are answered in the negative and we find some truth in the propositions contained in the second and fourth questions, we have at least laid the basis for a pluralist conclusion.

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Peter William Egolf,Kolumban Hutterhe fruits of its first ten years of successful political and industrial agitation were thrown away, and the party declined until it had just two and a half thousand members in November 1930. It was by no means obvious that the Communist Party would survive to see the decade’s end.

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Peter William Egolf,Kolumban Hutterrty-backed engineering workers’ paper, the ., had a circulation of 94 000. In 1945, the party had two MPs, Willie Gallacher and Phil Piratin, and one member, the bus worker Bert Papworth, on the General Council of the TUC. The best sign of the CP’s strength was its newspaper.