The equations of non‐homogeneous asymmetric fluids: an iterative approach

We study the existence and uniqueness of strong solutions for the equations of non‐homogeneous asymmetric fluids. We use an iterative approach and we prove that the approximate solutions constructed by this method converge to the strong solution of these equations. We also give bounds for the rate of convergence. Copyright © 2002 John Wiley & Sons, Ltd.     

半参数EV模型参数的二阶段估计

本文综合核函数法 ,最小二乘法 ,利用二阶段估计的方法求出了 EV模型中参数的估计量 ,并研究了它的强相合性以及渐近正态性 .     

Hamilton cycles in strong products of graphs

We prove that the strong product of any n connected graphs of maximum degree at most n contains a Hamilton cycle. In particular, G^Δ(G) is hamiltonian for each connected graph G, which answers in affirmative a conjecture of Bermond, Germa, and Heydemann. © 2005 Wiley Periodicals, Inc. J Graph Theory 48: 299–321, 2005     

Nuclear Algebraic Geometry and SO(10)

In this contribution nuclear representations of the Dirac ring, developed over many years, are shown to be a particular case of a theorem in algebraic geometry which at the same time associates them with a Hodge decomposition of a Kaehler manifold. This yields a shape that in some cases is independent of any appeal to a symmetry group. However, because the nuclear representations are in the infinitesimal ring of SO(4) and the internal space of each representation is in a Kaehler (even Calabi-Yau) manifold K; the group SO(10) = SO(4) × K can give additional information. This paper develops the very fruitful symbiosis between algebra and irreducible representations of SO(10) and covers some aspects of string theory.     

Strong Differential Subordination and Superordination Properties of Phi-Like Functions

Strong differential subordination and superordination properties are determined for Phi-like functions in the open unit disk by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.     

Tonkinensines A and B, two novel alkaloids from Sophora tonkinensis

Tonkinensines <strong class="boldFont">Astrong> (<strong class="boldFont">1strong>) and <strong class="boldFont">Bstrong> (<strong class="boldFont">2strong>), two novel cytisine-type alkaloids that feature the skeleton with a linkage to pterocarpan, were isolated from the roots of Sophora tonkinensis. Their structures and absolute configurations were elucidated by spectroscopic methods, especially X-ray crystal diffraction and CD spectral analysis. The proposed biosynthetic pathway was also discussed. Both <strong class="boldFont">1strong> and <strong class="boldFont">2strong> were tested in HeLa and MDA-MB-231 tumor cell lines, and compound <strong class="boldFont">2strong> showed moderate cytotoxic activity.     

Highly efficient three-component (aldehyde-alkyne-amine) coupling reactions catalyzed by a reusable PS-supported NHC-Ag(I) under solvent-free reaction conditions

The development of a highly efficient, polystyrene-supported NHC<strong class="boldFont">-strong>Ag(I) catalyst for the three-component coupling reactions of aldehydes, alkynes, and amines (A³-coupling) was described. In the presence of PS<strong class="boldFont">-strong>NHC<strong class="boldFont">-strong>Ag(I) (2 mol %), the A³-reactions were carried out at room temperature under solvent-free reaction conditions and the corresponding propargylamines were generated in good to excellent yields. Furthermore, the catalyst could be reused at least 12 times without a significant loss of its catalytic activity.     

邻苯二甲酸单乙酯铜配合物的晶体结构与强反铁磁性

A hydrated tetra-carboxylato-bridged dinuclear copper(Ⅱ) complex [Cu₂(mEP)₂(H₂O)₂]₂ (1) (mEp is mono -ethyl phthalate or 1,2-benzenedicarboxylate monoethyl ester) has been prepared and characterized by X-ray diffraction single crystal structure analysis and magnetic measurements. This dinuclear complex adopts dimeric paddle-wheel cage structure and the coordination model around each copper(Ⅱ) atom is square-pyramidal with four oxygen atoms of the carboxylate groups from four different mono-ethyl phthalate ligands and one oxygen atom of water as apical position. The magnetic data for 1 exhibited strong intramolecular antiferromagnetic interaction between the two paramagnetic metal ions with 2J=-315.18 cm^-1. Comparing with other related complexes in structure and magnetic propertity, the main factor which determines the strong antiferromagnetic interaction in the dimeric copper(Ⅱ) carboxylates is the electronic structure of the bridging O-C-O moiety. CCDC: 624561.     

The limit behavior of the solutions to a class of nonlinear dispersive wave equations

In this paper, we study the limit behavior of the solutions to a class of nonlinear dispersive wave equations. We also demonstrate that the solutions to Eq. (1.1) converge to the solution to the corresponding BBM equation as the parameter γ converges to zero. And the convergence of solutions to Eq. (1.1) as α²→0 is studied in Hs(R), . Given the discussion of the parameters in the nonlinear dispersive wave equation (1.1), one will obtain some conditions in which compacton and peakon occur.