关于海洋动力学中二维的大尺度原始方程组(Ⅱ)

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基金项目: 国家自然科学基金(重点)资助项目(90511009)

On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅱ)

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;

摘要: 考虑地球物理学中大尺度海洋运动的二维原始方程组的初边值问题．这里海底的深度是正的，但不一定为常数．应用Faedo-Galerkin方法和各向异性不等式，得到上述初边值问题的整体弱强解和整体强解的存在、唯一性．并且通过研究解的渐近行为，证明了能量随时间是指数衰减的．
- 海洋的原始方程组 /
- 整体强解 /
- 正则性 /
- 指数衰减
Abstract: The initial boundary value problem for the two-dimensional primitive equations of largescale oceanic motion in geophysics is considered sequetially.Here the depth of the ocean is positive but not always a constant.By Faedo-Galerkin method and anisotropic inequalities,the existence,uniqueness of the global weakly strong solution and global strong solution for the probem were obtained.Moreover,by study the asymptotic behavior of solutions for the ablve problem,that the energy is exponential decay in time was proved.
- primitive equations of the ocean /
- global strongsolution /
- regularity /
- exponential decay

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