Liu, Lin F.Nieto Roig, Juan José2020-12-162020-12-162020Liu, L.F.; Nieto, J.J. Dissipativity of Fractional Navier–Stokes Equations with Variable Delay. Mathematics 2020, 8, 2037http://hdl.handle.net/10347/24036We use classical Galerkin approximations, the generalized Aubin–Lions Lemma as well as the Bellman–Gronwall Lemma to study the asymptotical behavior of a two-dimensional fractional Navier–Stokes equation with variable delay. By modifying the fractional Halanay inequality and the comparison principle, we investigate the dissipativity of the corresponding system, namely, we obtain the existence of global absorbing set. Besides, some available results are improved in this work. The existence of a global attracting set is still an open problemeng© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)Atribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Fractional Navier–Stokes equationsVariable delayModified fractional Halanay inequalityGeneralized comparison principleDissipativityjournal article10.3390/math81120372227-7390open access