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2009 On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence
Gabriel Deugoue, Mamadou Sango
Abstr. Appl. Anal. 2009: 1-27 (2009). DOI: 10.1155/2009/723236

Abstract

We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. The adequate notion of solutions is that of probabilistic weak solution. We establish the existence of a such of solution. We also discuss the uniqueness.

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Gabriel Deugoue. Mamadou Sango. "On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence." Abstr. Appl. Anal. 2009 1 - 27, 2009. https://doi.org/10.1155/2009/723236

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 05690911
MathSciNet: MR2563999
Digital Object Identifier: 10.1155/2009/723236

Rights: Copyright © 2009 Hindawi

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