【摘 要】
：
The authors study the regularity of solutions of the GFD-Stokes problem and of some second order linear elliptic partial differential equations related to the P
【机 构】
：
The Institute for Scientific Computing & Applied Mathematics,Department of Mathematics
【基金项目】
：
国家自然科学基金;the Research Fund of Indiana University
论文部分内容阅读
The authors study the regularity of solutions of the GFD-Stokes problem and of some second order linear elliptic partial differential equations related to the Primitive Equations of the ocean.The present work generalizes the regularity results in [18] by taking into consideration the nonhomogeneous boundary conditions and the dependence of solutions on the thickness ε of the domain occupied by the ocean and its varying bottom topography. These regularity results are important tools in the study of the PEs (see e.g. [6]),and they seem also to possess their own interest.
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