Abstract:  In this paper, we consider the initial-boundary value problem for the large scale
three-dimensional (3D) viscous primitive equations under random force. Assuming that
the random force and the heat source satisfy the some assumptions, we firstly establish
rigorous a priori bounds with coefficients which depend only on boundary data, initial
data and the geometry of the problem, and then with the aid of these a priori bounds,
the continuous dependence of the solution on changes in the heat source is obtained.

Key words: Primitive equations of the ocean, The heat source, Continuous dependence; Random force