Titlebook: Vladimir I. Arnold - Collected Works; Hydrodynamics, Bifur Vladimir I. Arnold,Alexander B. Givental,Boris A. Book 2014 Springer-Verlag Ber

Memorial

Vladimir I. Arnold - Collected Workshttp://image.papertrans.cn/v/image/983984.jpg

愛花花兒憤怒

Throttle

愚蠢人

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

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

On an a priori estimate in the theory of hydrodynamical stability,This note contains a proof of the stability theorem stated in [1].

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