Abstract
In this paper, the initial boundary value problem for the two-dimensional large-scale primitive equations of large-scale oceanic motion in geophysics is considered, which are fundamental models for weather prediction. By establishing rigorous a priori bounds with coefficients and deriving some useful inequalities, the convergence result for the boundary conditions is obtained.
Highlights
Different from the results above, the aim of this paper is to establish the convergence result of the solution when the boundary data tend to zero
It is very important to know whether a small change in the equation can cause a large change in the solution
By taking advantage of the mathematical analysis to study these equations, it is helpful to know their applicability in physics
Summary
Different from the results above, the aim of this paper is to establish the convergence result of the solution when the boundary data tend to zero. Realizing the boundary conditions (4), equation (1)[4] is integrated from −h to x2 to obtain x2 z w x1, x2, t w x1, By integrating (1)[3] and (1)[4], the following is obtained: p x1, x2, t ps − ρ x1, ζ, tdζ ps x2 ΔT, with the following boundary conditions: zu zx[2] L2(Ω), the following is obtained: 1 2 d dt x1, 0, tdx[1]
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