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On a turbulent system with unbounded eddy viscosities. (English) Zbl 1013.35068

The authors study a model system obtained as a mathematical sub-product of the large scale one-degree closure Reynolds system for simulating turbulent flows. Existence of a distributional solution is shown for the evolutionary 2-D case and the steady-state 3-D case. The time-dependent 3-D case remains open.

MSC:

35Q35 PDEs in connection with fluid mechanics
76F02 Fundamentals of turbulence
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