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- W2600666945 abstract "This paper is concerned with the long-time behavior of solutions for the three dimensional globally modified Navier-Stokes equations in a three-dimensional bounded domain. We prove the existence of a global attractor $mathcal{A}_0$ in $H$ and investigate the regularity of the global attractors by proving that $mathcal{A}_0=mathcal{A}$ established in cite{ct}, which implies the asymptotic smoothing effect of solutions for the three dimensional globally modified Navier-Stokes equations in the sense that the solutions will eventually become more regular than the initial data. Furthermore, we construct an exponential attractor in $H$ by verifying the smooth property of the difference of two solutions, which entails the fractal dimension of the global attractor is finite." @default.
- W2600666945 created "2017-04-07" @default.
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- W2600666945 date "2017-03-16" @default.
- W2600666945 modified "2023-09-27" @default.
- W2600666945 title "Long-time behavior of the three dimensional globally modified Navier-Stokes equations" @default.
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- W2600666945 hasPublicationYear "2017" @default.
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