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On the Existence and Uniqueness of Solutions for Nonlinear System Modeling Three-Dimensional Viscous Stratified Flows

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DOI: 10.4236/jamp.2014.27061    3,545 Downloads   4,494 Views Citations

ABSTRACT

We establish the uniqueness and local existence of weak solutions for a system of partial differential equations which describes non-linear motions of viscous stratified fluid in a homogeneous gravity field. Due to the presence of the stratification equation for the density, the model and the problem are new and thus different from the classical Navier-Stokes equations.

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Giniatoulline, A. and Castro, T. (2014) On the Existence and Uniqueness of Solutions for Nonlinear System Modeling Three-Dimensional Viscous Stratified Flows. Journal of Applied Mathematics and Physics, 2, 528-539. doi: 10.4236/jamp.2014.27061.

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