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Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data

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Abstract Recently, Leray's problem of the L 2 -decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the authors, exploiting properties of… Click to show full abstract

Abstract Recently, Leray's problem of the L 2 -decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the authors, exploiting properties of the approximate solutions converging to this solution. In this paper this result is generalized to the case of an arbitrary weak solution satisfying the strong energy inequality.

Keywords: decay turbulent; existence strong; turbulent solutions; strong solutions; solutions decay; navier stokes

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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