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Recently, Niche [J. Differential Equations, 260 (2016), 4440-4453] established upper bounds on the decay rates of solutions to the 3D incompressible Navier-Stokes-Voigt equations in terms of the decay character r∗ of the initial data in H1 (R3). Motivated by this work, we focus on characterizing the large-time behavior of all space-time derivatives of the solutions for the 2D case and establish upper bounds and lower bounds on their decay rates by making use of the decay character and Fourier splitting methods. In particular, for the case - n 2 < r∗1, we verify the optimality of the upper bounds, which is new to the best of our knowledge. Similar improved decay results are also true for the 3D case. © 2024 - IOS Press. All rights reserved.
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Asymptotic Analysis
ISSN: 0921-7134
Year: 2024
Issue: 1-2
Volume: 139
Page: 61-87
1 . 4 0 0
JCR@2022
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 5
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