Affiliation:
1. Department of Applied Mathematics University of Craiova 13 A.I.Cuza Str. Craiova ROMANIA
Abstract
This paper continues some recent work in a powerful mathematical domain, with applications in connected scientific fields, namely the stability of dynamical systems. In fluid mechanics, stabilizing a dynamical system is a challenging task and it can be done by various ways. Stabilizing a dynamical system could be often easier if we approach controllable systems, because in this form, there can be imposed some bounds on its behavior, by studying the improvement of the operators that describe the system. In this paper, the mixing flows dynamical systems are taken into account, more exactly the kinematics of mixing flows. The stability analysis of the mixing flow is taken into account, in the case of perturbation with a logistic term. The results can be extended to some other versions of the model.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Reference14 articles.
1. J.M. McDonough, Introductory lectures on turbulence. Physics, Mathematics and Modelling, Univ. of Kentucky, 2007
2. O. Reynolds, On the dynamical theory of turbulent incompressible viscous fluids and the determination of the criterion, Phil. Trans. R. Soc. London A 186, 123–161, 1894
3. Ionescu, A, Recent Trends in Computational Modeling of Excitable Media Dynamics. Lambert Academic Publishing, 2010
4. Ottino, J, The Kinematic of Mixing: Stretching, Chaos and Transport. Cambridge Texts in Applied Mathematics. Cambridge University Press, 1989
5. Ottino, J.M., W.E. Ranz, C.W. Macosko. A framework for the mechanical mixing of fluids. AlChE J. 27, pp 565-577. 1981