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| REGULARITY RESULTS FOR LINEAR ELLIPTIC PROBLEMS RELATED TO THE PRIMITIVE EQUATIONS | |
| 作者姓名： | HU Changbing R. TEMAM M. ZIANE |
| 作者单位： | Ｔｈｅ，Ｔｈｅ，Ｄｅｐａｒｔｍｅｎｔ ｏｆ Ｍａｔｈｅｍａｔｉｃｓ，Ｕｎｉｖｅｒｓｉｔｙ ｏｆ ＳｏｕｔｈｅｒｎＣａｌｉｆｏｒｎｉａ Ｉｎｓｔｉｔｕｔｅ ｆｏｒ Ｓｃｉｅｎｔｉｆｉｃ Ｃｏｍｐｕｔｉｎｇ & Ａｐｐｌｉｅｄ Ｍａｔｈｅｍａｔｉｃｓ，Ｉｎｄｉａｎａ Ｕｎｉｖ |
| 基金项目： | 国家自然科学基金，the Research Fund of Indiana University |
| 摘 要： | roductlonWe establish reglllaxlty results for the GFD－Stokes system and some second order ellipticp |
| 关 键 词： | 解 正则性 线性椭圆问题 本原方程 GFD－Stokes系统 边值问题 Soblev不等式 海洋学 |
| 收稿时间： | 3/2/2016 12:00:00 AM |
REGULARITY RESULTS FOR LINEAR ELLIPTIC PROBLEMS RELATED TO THE PRIMITIVE EQUATIONS |
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| HU Changbing,R. TEMAM,M. ZIANE.REGULARITY RESULTS FOR LINEAR ELLIPTIC PROBLEMS RELATED TO THE PRIMITIVE EQUATIONS[J].Chinese Annals of Mathematics,Series B,2002,23(2):277-292. | |
| Authors: | HU Changbing R TEMAM and M ZIANE |
| Institution: | 1. The Institute for Scientific Computing & Applied Mathematics,Indiana University,Rawles Hall, Bloomington,IN 47405,USA. 2. The Institute for Scientific Computing & Applied Mathematics,Indiana University,Rawles Hall, Bloomington,IN 47405,USA. Laboratoire d'Analyse Numérique,Université Paris-Sud,Batiment 425, 91405 Orsay,France. E-mail: temam@indiana.edu 3. Department of Mathematics,University of Southern California,Los Angles,CA 90089,USA. |
| Abstract: | The authors study the regularity of soutions of the GFD-Stokes problem and of some second order linear elliptic partial differential equations related to the PrimitiveEquations of the ocean .The present work generallizes the regularity results in18] by taking into consideraion the non- homogeneous boundary conditions and teh dependence of solutions on the thickness 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. |
| Keywords: | Primitive equations of the ocean Oceanograhy GFD Stokes problem Non-smooth domains |
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