Advances in the Theory of Nonlinear Analysis and its Applications (Nov 2023)
Study of a Nonlinear System of Partial Differential Equations Associated with Stratified Fluids in Three Dimensions
Abstract
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.
Keywords