Upper bound of decay rate for solutions to the Navier–Stokes–Voigt equations in R3

Caidi Zhao and Hongjin Zhu

Applied Mathematics and Computation, 2015, vol. 256, issue C, 183-191

Abstract: In this paper, we first show the global existence, uniqueness and regularity of weak solutions for the Navier–Stokes–Voigt equations in R3. Then we combine the Fourier splitting method of Schonbek and the Gronwall inequality to prove that the solutions have the following decay rates‖∇mu(x,t)‖2+‖∇m+1u(x,t)‖2⩽c(1+t)-3/2-m,for largetwhen u0∈Hm(R3)∩L1(R3) and m=0,1.

Keywords: Navier–Stokes–Voigt equations; Decay rate; Fourier splitting method (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:183-191

DOI: 10.1016/j.amc.2014.12.131

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