A. Giniatoulline
Mathematical Properties of the Viscous Rotating Stratified Fluid Counting with Salinity and Heat Transfer in a Layer
451 - 457
2017
11
10
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/10007934
https://publications.waset.org/vol/130
World Academy of Science, Engineering and Technology
A model of the mathematical fluid dynamics which describes the motion of a threedimensional viscous rotating fluid in a homogeneous gravitational field with the consideration of the salinity and heat transfer is considered in a vertical finite layer. The model is a generalization of the linearized NavierStokes system with the addition of the Coriolis parameter and the equations for changeable density, salinity, and heat transfer. An explicit solution is constructed and the proof of the existence and uniqueness theorems is given. The localization and the structure of the spectrum of inner waves is also investigated. The results may be used, in particular, for constructing stable numerical algorithms for solutions of the considered models of fluid dynamics of the Atmosphere and the Ocean.
Open Science Index 130, 2017