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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    3,554 Downloads   4,508 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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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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