  In this paper we show that the rotational Smagorinsky model for turbulent
flows, can be put, for a wide range of parameters in the setting of Bochner
pseudo-monotone evolution equations. This allows to prove existence of weak
solutions a) identifying a proper functional setting in weighted spaces and b)
checking some easily verifiable assumptions, at fixed time. We also will
discuss the critical role of the exponents present in the model (power of the
distance function and power of the curl) for what concerns the application of
the theory of pseudo-monotone operators.
