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| On the Hydrostatic and Darcy Limits of the Convective Navier-Stokes Equations |
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Citation： |
Yann BRENIER.On the Hydrostatic and Darcy Limits of the Convective Navier-Stokes Equations[J].Chinese Annals of Mathematics B,2009,30(6):683~696 |
| Page view： 1705
Net amount： 1108 |
Authors： |
Yann BRENIER; |
Foundation： |
ANR contract OTARIE ANR-07-BLAN-0235 and the program “Optimal Transport”. |
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| Abstract： |
The author studies two singular limits of the convective Navier-Stokes equa-
tions. The hydrostatic limit is first studied: the author shows the existence of global
solutions with a convex pressure field and derives them from the convective Navier-Stokes
equations as long as the pressure field is smooth and strongly convex. The (friction domi-
nated) Darcy limit is also considered, and a relaxed version is studied. |
Keywords： |
Atmospheric sciences, Fluid mechanics, Asymptotic analysis |
Classification： |
86A10, 35Q35, 76B99, 86A05 |
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