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Adam Janečka - Aspects of Stability for Fluids Described by Non-Monotone Constitutive Relation

Kdy: 24/04/2018 15:40 - 24/04/2018 17:10
Kde: Seminární místnost K433KNM, Sokolovská 83, Karlín
First, we introduce (implicit) non-monotone constitutive relations for incompressible fluids that connect the symmetric part of the velocity gradient and the deviatoric part of the Cauchy stress. Then we discuss the stability of such constitutive relations by means of the gradient dynamics and provide a possible explanation of the experimentally observed hysteresis. We also address the topic of linearized hydrodynamic stability and review the numerically determined spectra of the corresponding simple shear flows. Finally, we show some results from the simulations of an unsteady cylindrical Couette flow of fluids described by non-monotone constitutive relations.