منابع مشابه
Surface Motions and Fluid Dynamics *
A certain class of surface motions, including those of a relativistic membrane minimizing the 3-dimensional volume swept out in Minkowski-space, is shown to be equivalent to 3-dimensional steady-state irrotational inviscid isentropic gas-dynamics. The SU(∞) Nahm equations turn out to correspond to motions where the time t at which the surface moves through the point ⇀ r is a harmonic function o...
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In this paper, a class of algorithms for the high order geometric motion of planar curves is developed. The algorithms alternate two simple steps—a convolution and a thresholding step—to evolve planar curves according to combinations of Willmore flow, surface diffusion flow and curvature motion. A distinguishing feature of the methods is that they posses much better stability than typical expli...
متن کاملBranner-Hubbard motions and attracting dynamics
Branner-Hubbard motion is a systematic way of deforming an attracting holomorphic dynamical system f into a family (fs)s∈L, via a holomorphic motion which is also a group action. We establish the analytic dependence of fs on s (a result first stated by Lyubich) and the injectivity of fs on f . We prove that the stabilizer of f (in terms of s) is either the full group L (rigidity), or a discrete...
متن کاملDynamics of thermal vibrational motions and stringlike jump motions in three-dimensional glass-forming liquids.
Using molecular dynamics simulation on a glass-forming liquid in three dimensions, we investigate the thermal vibrational motions, the configuration changes caused by stringlike jump motions, and their close correlations. The heterogeneous vibrational motions are visualized in terms of a vibration length Si(t) defined for each particle i. The structure factor for the inhomogeneity of Si(t)(2) i...
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ژورنال
عنوان ژورنال: The Astrophysical Journal
سال: 1999
ISSN: 0004-637X
DOI: 10.1086/312055