On the hydrostatic and Darcy limits of the convective Navier-Stokes equations
On the hydrostatic and Darcy limits of the convective Navier-Stokes equations
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关于对流纳维-斯托克斯方程的静水力学和达西极限
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Y. Brenier
中科院分区：
文献类型：
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作者：
Y. Brenier
研究了对流Navier-Stokes方程的两个奇异极限。首先研究了流体静力学极限：作者证明了具有凸压力场的整体解的存在性，并从对流Navier-Stokes方程导出了它们，只要压力场是光滑的和强凸的。（摩擦为主）达西极限也被认为是，和放松的版本进行了研究。
The author studies two singular limits of the convective Navier-Stokes equations. 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 dominated) Darcy limit is also considered, and a relaxed version is studied.