Stability analysis for a thermal convection

This thesis consists of four chapters. In the first chapter, important definitions and theorems, conservation of momentum of a fluid mass and differential equations of linear momentum, Euler equation of inviscid flow are analyzed under five main sections. In the second chapter, definition of the problem, the torque equations, mass energy and the conservation equation for the salt concentration was expressed. The initial value problem is calculated for different values. In the third chapter, some prior approaches have been made and the stability of the resulting non-linear partial differential equations were studied. In the fourth chapter, initial boundary conditions are determined for continuous dependence on the reaction coefficients. Continuous independence was established on the reaction coefficients and universal results have been achieved. Key Words: Boussinesq approach, structural stability analysis, Continuous dependence on the reaction coefficients.