| Abstract: |
| Viscoelastic fluids represent a major challenge both from an engineering and from a mathematical point of view. We have shown that viscoelasticity induces chaos in closed-loop thermosyphons even when we consider binary fluids, this is, when we consider a solute in the fluid, as water and antifreezes, for example. References: A. Jim\`enez-Casas, and A. Rodr\`{\i}guez-Bernal, Finite-dimensional asymptotic behavior in a thermosyphon including the Soret effect, Math. Meth. in the Appl. Sci., 22, 117-137, (1999). A. Jim\`enez-Casas and A.M-L. Ovejero, Numerical analysis of a closed-loop thermosyphon including the Soret effect, Appl. Math. Comput., 124, 289-318, (2001). J. Yasappan, A. Jim\`enez-Casas and Mario Castro, Stabilizing Interplay between Thermodiffusion and Viscelasticity in a Closed-loop Thermosyphon, Disc. Cont. Dyn. Sys.B, Vol 20, 9, 3267-3299, (2015). |
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