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| REGULARITY RESULTS FOR LINEAR ELLIPTIC PROBLEMS RELATED TO THE PRIMITIVE EQUATIONS |
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Citation： |
HU Changbing,R. TEMAM,M. ZIANE.REGULARITY RESULTS FOR LINEAR ELLIPTIC PROBLEMS RELATED TO THE PRIMITIVE EQUATIONS[J].Chinese Annals of Mathematics B,2002,23(2):277~292 |
| Page view： 1465
Net amount： 840 |
Authors： |
HU Changbing; R. TEMAM;M. ZIANE |
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| Abstract： |
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 $\var$ 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, Oceanography, GFD Stokes problem, Non-smooth domains |
Classification： |
35J65, 35B65, 35Q30 |
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