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Decay of solutions to a class of incompressible third grade fluid equations
Journal article   Peer reviewed

Decay of solutions to a class of incompressible third grade fluid equations

Xiaopeng Zhao, Bessem Samet and Yong Zhou
Journal of mathematical analysis and applications, Vol.484(1)
01/04/2020
DOI: https://doi.org/10.1016/j.jniaa.2019.123678

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study the long time behavior of solutions to a class of the third grade fluid equations in R3. We first show that the solutions decay to zero if the initial data uo E L2(1. 3). Then, applying Fourier splitting method and decay character r*, we establish the upper and lower bounds of time decay rate in L2 -norm for the solutions. 2019 Elsevier Inc. All rights reserved.

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