Dynamics of fluids flows under Markovian structural perturbations

In this paper, we investigate dynamics of plane flows and three-dimensional flows of an incompressible viscous Newtonian fluids under Markovian structural perturbations. We employ the theory of random partial differential inequalities together with the concept of vector Lyapunov-like functionals to investigate different kinds of stability and convergence properties of the solution process of the model and characterize the effects of the random structural perturbations on convergence and stability.