期刊文献+
共找到1篇文章
< 1 >
每页显示 20 50 100
A Note on the Stability of Geodesics on Diffeomorphism Groups with One-side Invariant Metric
1
作者 li juan zhou 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2020年第5期620-630,共11页
In this note,we consider the stability of geodesics on volume-preserving diffeomorphism groups with one-side invariant metric.We showed that for non-Beltrami fields on a three-dimensional compact manifold,there does n... In this note,we consider the stability of geodesics on volume-preserving diffeomorphism groups with one-side invariant metric.We showed that for non-Beltrami fields on a three-dimensional compact manifold,there does not exist Eulerian stable flow which is Lagrangian exponential unstable.We noticed that a stationary flow corresponding to the KdV equation can be Eulerian stable while the corresponding motion of the fluid is at most exponentially unstable. 展开更多
关键词 Volume-preserving DIFFEOMORPHISM GROUP Bott-Virasoro GROUP Euler equation GEODESIC Eulerian INSTABILITY Lagrangian INSTABILITY
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部