Applications of Mathematics, Vol. 67, No. 1, pp. 103-124, 2022
Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics
Yuanfei Li, Shengzhong Xiao
Received March 14, 2020. Published online October 20, 2021.
Abstract: 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.
Keywords: a priori bounds; primitive equation; continuous dependence
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Affiliations: Yuanfei Li (corresponding author), Huashang College, Guangdong University of Finance and Economics, Guangzhou, 511300, P. R. China, e-mail: liqfd@163.com; Shengzhong Xiao, Guangdong AIB College, Guangzhou, Guangdong, 510507, P. R. China, e-mail: 1175811708@qq.com