Memorial
发表于 2025-3-30 11:53:02
Vladimir I. Arnold - Collected Workshttp://image.papertrans.cn/v/image/983984.jpg
爱花花儿愤怒
发表于 2025-3-30 15:30:33
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Throttle
发表于 2025-3-30 18:53:59
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愚蠢人
发表于 2025-3-30 23:37:14
On the Riemann curvature of diffeomorphism groups,One calculates explicitly the sectional curvatures of certain infinite-dimensional Lie groups equipped with left-invariant metrics whose geodesics correspond to flows of an ideal fluid. The sectional curvature turns out to be negative in certain two-dimensional directions.
GLEAN
发表于 2025-3-31 03:53:25
Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid,The present article demonstrates some hydrodynamical corollaries of three simple theorems in the theory of ordinary differential equations. In particular, we shall derive sufficient conditions for the stability of stationary, plane, curvilinear flows of an inviscid incompressible fluid with respect to finite perturbations.
CLAM
发表于 2025-3-31 06:54:35
On an a priori estimate in the theory of hydrodynamical stability,This note contains a proof of the stability theorem stated in .
用树皮
发表于 2025-3-31 12:56:56
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