Nov 20, 2019 · Abstract. The study of Reynolds algebras has its origin in the well-known work of O. Reynolds on fluid dynamics in 1895 and has since found ...

This paper constructs free commutative Reynolds algebras, responding to a problem posed by G. Birkhoff in 1961, by applying the method of Gröbner-Shirshov ...

This paper starts a systematic algebraic study of Reynolds algebras, focusing on the construction of their free objects by bracketed words and rooted trees.

This “generalized Reynolds equation” is given by. R(& + gRf) = RfRg + cR(RfRg), where c is a constant and f, g E Ll(A?) n L2(a). If c > 0, we may extend R to ...

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May 15, 2021 · We carry out such a study in this paper. We first provide examples and properties of Reynolds operators, including a multi-variant ...

... k-epsilon model. The novelty of the model ... C., Huang L., Liu Y. 2014 , citations by CoLab: 2 ... Positive reynolds operators and generating derivations.

and that R satisfies the generalized "Reynolds equation" (see Section 2 below): ... (*) Let A, B and C denote bounded self-adjoint operators on a Hilbert space.

Aug 13, 2023 · Then, there exists a positive constant C, independent of ε, such that we have the following estimates. kCpεkL2. 0(Ω) ≤ C, k∇ε ˜pεkH−1(Ω)3 ≤ C.

In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is introduced, and the cohomology of a generalized Reynolds operator is ...

It is possible to use the Reynolds operator, together with the theory of tight closure, to give an elegant proof [14, Theorem 3.6] of a theorem due to Hochster ...