Johnson-Segalman流体剪切流动的相平面分析与数值模拟

研究Johnson-Segalman流体的剪切流动行为.首先分析该模型的定常解,从稳定的总剪切应力曲线上可见,当稳定总剪切应力T取值足够大或足够小时,方程有惟一定常解;当T取中间值时,方程定常解不惟一.最后,采用向后差分格式对该模型进行数值模拟.

Kennedy, Johnson and NATO: Britain, America and the Dynamics of Alliance, 1962-68

Priest, Andrew, Kennedy, Johnson and NATO: Britain, America and the Dynamics of Alliance, 1962-68 (New York: Routledge, 2006), wpp.xiv+222 RAE2008

The abelianization of the Johnson kernel

We prove that the first complex homology of the Johnson subgroup of the Torelli group Tg is a non-trivial, unipotent Tg-module for all g ≥ 4 and give an explicit presentation of it as a Sym H 1(Tg,C)-module when g ≥ 6. We do this by proving that, for a finitely generated group G satisfying an assumption close to formality, the triviality of the restricted characteristic variety implies that the first homology of its Johnson kernel is a nilpotent module over the corresponding Laurent polynomial ring, isomorphic to the infinitesimal Alexander invariant of the associated graded Lie algebra of G. In this setup, we also obtain a precise nilpotence test. © European Mathematical Society 2014.

A new parameterization of Johnson's SB distribution with application to fitting forest tree diameter data

The SB distributional model of Johnson's 1949 paper was introduced by a transformation to normality, that is, z ~ N(0, 1), consisting of a linear scaling to the range (0, 1), a logit transformation, and an affine transformation, z = γ + δu. The model, in its original parameterization, has often been used in forest diameter distribution modelling. In this paper, we define the SB distribution in terms of the inverse transformation from normality, including an initial linear scaling transformation, u = γ′ + δ′z (δ′ = 1/δ and γ′ = �γ/δ). The SB model in terms of the new parameterization is derived, and maximum likelihood estimation schema are presented for both model parameterizations. The statistical properties of the two alternative parameterizations are compared empirically on 20 data sets of diameter distributions of Changbai larch (Larix olgensis Henry). The new parameterization is shown to be statistically better than Johnson's original parameterization for the data sets considered here.