RT Journal Article
T1 Dissipativity of Fractional Navier–Stokes Equations with Variable Delay
A1 Liu, Lin F.
A1 Nieto Roig, Juan José
K1 Fractional Navier–Stokes equations
K1 Variable delay
K1 Modified fractional Halanay inequality
K1 Generalized comparison principle
K1 Dissipativity
AB We 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 problem
PB MDPI
YR 2020
FD 2020
LK http://hdl.handle.net/10347/24036
UL http://hdl.handle.net/10347/24036
LA eng
NO Liu, L.F.; Nieto, J.J. Dissipativity of Fractional Navier–Stokes Equations with Variable Delay. Mathematics 2020, 8, 2037
NO The work of Lin F. Liu has been partially supported by NSF of China (Nos. 11901448, 11871022 and 11671142) as well as by China Postdoctoral Science Foundation Grant (Nos. 2018M643610). The work of Juan J. Nieto has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain, co-financed by the European Fund for Regional Development (FEDER) corresponding to the 2014-2020 multiyear financial framework, project MTM2016-75140-P, Xunta de Galicia under grant ED431C 2019/02; by Instituto de Salud Carlos III (Spain), grant COV20/00617
DS Minerva
RD 28 abr 2026