Abstract
The present article establishes the mathematical description of turbulence for incompressible fluids as a response to an important question: “Is a complete mathematical description of turbulence possible?” in ResearchGate.net website discussion started August 26, 2018. Since inhomogeneous turbulence is too complex, this article will limit the discussion to homogeneous turbulence. This article provides the necessary propositions for a mathematical description of homogeneous turbulence for incompressible fluids which is achievable via a probabilistic formulation, deterministic chaos, and the Kolmogorov’s -5/3 law.
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