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- W2066202524 abstract "In this paper, we analyze a tamed 3D Navier–Stokes equation in uniform C2-domains (not necessarily bounded), which obeys the scaling invariance principle, and prove the existence and uniqueness of strong solutions to this tamed equation. In particular, if there exists a bounded solution to the classical 3D Navier–Stokes equation, then this solution satisfies our tamed equation. Moreover, the existence of a global attractor for the tamed equation in bounded domains is also proved. As a simple application, we obtain that the set of all initial values for which the classical Navier–Stokes equation admits a bounded strong solution is open in H2." @default.
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- W2066202524 date "2009-10-01" @default.
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- W2066202524 title "A tamed 3D Navier–Stokes equation in uniform -domains" @default.
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- W2066202524 doi "https://doi.org/10.1016/j.na.2009.01.221" @default.
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