Study of a Nonlinear System of Partial Differential Equations Associated with Stratified Fluids in Three Dimensions
Keywords:
Stratified fluids, Non-viscous fluids, Nonlinear advection term, System of partial, differential equations, Sobolev spaces, Galerkin methodAbstract
In this paper, we will show some mathematical properties for a nonlinear system of partial differential equations, which describe the dynamics of internal motions of an exponentially stratified fluid in three-dimensional space. Basically, we will study the existence and uniqueness of the weak solution for our system of partial differential equations involving the nonlinear advection term on a finite interval.
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