Geodesic
Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics
Applications of Mathematics, Tome 67 (2022) no. 1, pp. 103-124

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In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.
DOI : 10.21136/AM.2021.0076-20
Classification : 35B40, 35Q30, 76D05, 76U60
Keywords: a priori bounds; primitive equation; continuous dependence 
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Li, Yuanfei; Xiao, Shengzhong. Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics. Applications of Mathematics, Tome 67 (2022) no. 1, pp. 103-124. doi: 10.21136/AM.2021.0076-20

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