caa a22 4500 60552355X CHVBK 20210128100750.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2594-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2594-z Rodrigues J.-F CMAF/FCUL, University of Lisbon, Lisboa, Portugal aut On the Mathematical Analysis of Thick Fluids [Elektronische Daten] [J.-F. Rodrigues] In chemical engineering models, shear-thickening or dilatant fluids converge in the limit case to a class of incompressible fluids with a maximum admissible shear rate, the so-called thick fluids. These non-Newtonian fluids can be obtained, in particular, as the power limit of the Ostwald-de Waele fluids, and can be described as a new class of evolution variational inequalities, in which the shear rate is bounded by a positive constant or, more generally, by a bounded positive function. It is established the existence, uniqueness, and the continuous dependence of solutions to this general class of thick fluids with variable threshold on the absolute value of the deformation rate tensor, the solutions of which belong to a time dependent convex set. For sufficiently large viscosity, the asymptotic stabilization toward a unique steady state is also proved. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/6(2015-11-01), 835-848 1072-3374 210:6<835 2015 210 10958 https://doi.org/10.1007/s10958-015-2594-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2594-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rodrigues J.-F CMAF/FCUL, University of Lisbon, Lisboa, Portugal aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/6(2015-11-01), 835-848 1072-3374 210:6<835 2015 210 10958