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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 6
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Articles

Non-Newtonian fluids and stochastic analysis on the groups of diffeomorphisms

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Pages 1116-1127 | Received 30 Mar 2014, Accepted 21 Apr 2014, Published online: 02 Jun 2014
 

Abstract

In the framework of Lagrangian approach to hydrodynamics, we suggest a special stochastic perturbation of the flows of perfect fluids on flat n-dimensional torus and obtain the description of viscous fluids with viscous term in the form of some second-order differential operator more general than Laplacian that may depend on time. A particular case is the viscous fluids with time-dependent viscosity.

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