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• W2785078412 abstract "We consider the three dimensional incompressible Navier–Stokes equations with a non stationary source term , chosen in a suitable space. We prove the existence of global Leray–Hopf weak solutions and also that it is possible to characterize (up to sub-sequences) their long-time averages, which satisfy the Reynolds averaged equations, involving the additional Reynolds stress. Moreover, we show that the turbulent dissipation is bounded by the sum of the Reynolds stress work and the external turbulent fluxes, without any additional assumption, other than that of using Leray–Hopf weak solutions." @default.
• W2785078412 created "2018-02-02" @default.
• W2785078412 creator A5013131392 @default.
• W2785078412 creator A5069567984 @default.
• W2785078412 date "2019-10-16" @default.
• W2785078412 modified "2023-10-15" @default.
• W2785078412 title "On the Reynolds time-averaged equations and the long-time behavior of Leray–Hopf weak solutions, with applications to ensemble averages" @default.
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• W2785078412 doi "https://doi.org/10.1088/1361-6544/ab32bc" @default.
• W2785078412 hasPublicationYear "2019" @default.
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