Invariant Sets and Explicit Solutions to a Third-Order Model for the Shearless Stratified Turbulent Flow

Nonlinear Sciences – Exactly Solvable and Integrable Systems

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We study dynamics of the shearless stratified turbulent flows. Using the
method of differential constraints we find a class of explicit solutions to the
problem under consideration and establish that the differential constraint
obtained coincides with the well-known Zeman--Lumley model for stratified
flows.

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