Existence and regularity of solutions to the Leray-alpha model with Navier slip boundary conditions

We establish the existence and regularity of a unique weak solution to turbulent flows in a bounded domain $\Omega\subset\mathbb R^3$ governed by the Leray-$\alpha$ model with Navier slip boundary condition for the velocity. Furthermore, we show that when the filter coefficient $\alpha$ tends t...

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Bibliographic Details
Main Authors: Hani Ali, Petr Kaplicky
Format: Article
Language:English
Published: Texas State University 2016-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/235/abstr.html