Asymptotic behavior of solutions to a class of incompressible third grade fluid equations
Volume 126 / 2021
Annales Polonici Mathematici 126 (2021), 165-175
MSC: Primary 35Q35; Secondary 35B40, 35D35.
DOI: 10.4064/ap200207-15-2
Published online: 5 May 2021
Abstract
We study the asymptotic behavior of incompressible third grade fluid equations. First, by using the pure energy method, we obtain the global well-posedness of strong solutions provided that the initial data is sufficiently small. Second, on the basis of negative Sobolev norm estimates, we establish the optimal decay rates of strong solutions.
