A priori estimates for fluid interface problems
A priori estimates for fluid interface problems
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DOI：
10.1002/cpa.20241
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发表时间：
2006-09
影响因子：
3
通讯作者：
J. Shatah;C. Zeng
中科院分区：
文献类型：
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作者：
J. Shatah;C. Zeng
我们考虑了存在表面张力时不可压缩和无粘两种流体之间的界面的规律性。我们得到了H(3/2)k+1中界面上的局部时间估计和H(3/2)k中的速度场，这些估计是通过几何考虑得到的，这表明Kelvin-Helmholtz不稳定性是曲率计算的结果。©2007威利期刊公司。
We consider the regularity of an interface between two incompressible and inviscid fluid flows in the presence of surface tension. We obtain local‐in‐time estimates on the interface in H(3/2)k + 1 and the velocity fields in H(3/2)k. These estimates are obtained using geometric considerations which show that the Kelvin‐Helmholtz instabilities are a consequence of a curvature calculation. © 2007 Wiley Periodicals, Inc.