Global existence of shock front solutions in 1-dimensional piston problem in the relativistic Euler equations

The paper studies the 1-D piston problem of the relativistic Euler equations when the speed of the piston is a perturbation of a constant. A sequence of approximate solutions constructed by a modified Glimm scheme is proved to be convergent to the weak solution (which includes a strong leading shock) to the piston problem. In particular, we give the precise estimates on the reflection of the perturbed waves on the piston and the leading shock. The paper is supported by the National Natural Science Foundation of China (Grant 10626034) and the Special Research Fund for Selecting Excellent Young Teachers of the Universities in Shanghai.     

Simultaneous analysis of polygala acid,senegenin and 3,6′‐disinapoylsucrose in rat plasma by liquid chromatography–tandem mass spectrometry: application to a pharmacokinetic study after oral administration

A rapid and specific LC‐MS/MS method has been developed for the simultaneous analysis of polygala acid, senegenin and 3,6′‐disinapoylsucrose (DSS) in rat plasma. The method was applied to the pharmacokinetics studies of polygala acid, senegenin and DSS. The analysis was carried out on an Agilent Eclipse plus C₁₈ reversed‐phase column (100 × 4.6 mm, 3.5 µm) by gradient elution with methanol and ammonia (0.01%, v/v). The flow rate was 0.4 mL/min. All analytes including internal standard (IS) were monitored by selected reaction monitoring with an electrospray ionization source. Linear responses were obtained for polygala acid and DSS ranging from 2.5 to 2000 ng/mL, and senegenin ranging from 5 to 2000 ng/mL. The intra‐ and inter‐day precisions (relative standard deviation) were <11.34 and 8.99%. The extraction recovery ranged from 70.89 ± 4.60 to 88.49 ± 3.26%, and that for the IS was 77.23 ± 3.68%. Stability studies showed that polygala acid, senegenin and DSS are stable during the preparation and analytical process. The validated method was successfully used to determine the concentration–time profiles of polygala acid, senegenin and DSS. Copyright © 2013 John Wiley & Sons, Ltd.     

Crystal and Molecular Structure of Copper(Ⅰ) Complex 〔Cu(PPh_3)_2(NO_3)〕

1　 INTRODUCTIONCopper( ) displays a wide diversity in its structural chemistry,the copper co-ordination number ranging from two to four.Procedures to synthesize copper( )complexes are of greatinterestbecause of the diversity of products resulting from al-mostthe same methodology.Ithaslong been accepted thatcopper( ) complexesarediamagnetic and provide no optical absorption bands( no d- d transition isencountered) for a copper( ) ion with a d10 configuration and no electron spin reso-n…     

Facile synthesis of magnetic microcapsules by synchronous formation of magnetite nanoparticles

Magnetite/poly (lactic acid) (PLA) composite microcapsules with controllable composition and magnetic property were synthesized by a facile interfacial coprecipitation joint double emulsion–solvent evaporation process. In this method, the interfacial coprecipitation was performed at the water-in-oil (W₁/O) interface and the generated Fe₃O₄ nanoparticles were incorporated into PLA microcapsules simultaneously. The magnetite content of the resultant composite microcapsules can be controlled as high as 38 wt.%. This novel method not only simplifies the fabrication process but also improves the magnetic property of composite microcapsules.     

A mixed‐valence complex of cobalt based on 3‐methoxysalicylaldoxime

A new tetranuclear mixed‐valence cobalt complex, namely di‐μ₂‐azido‐diazidodiethanolbis{μ₂‐2‐[(hydroxyimino)methyl]‐6‐methoxyphenolato}bis{μ₃‐6‐methoxy‐2‐[(oxidoimino)methyl]phenolato}dicobalt(II)dicobalt(III) ethanol disolvate, [Co^II₂Co^III₂(C₈H₇NO₃)₂(C₈H₈NO₃)₂(N₃)₄(C₂H₅OH)₂]·2C₂H₅OH, has been synthesized by the reaction of Co(OAc)₂·4H₂O (OAc is acetate) with 3‐methoxysalicylaldoxime (H₂mosao) in an ethanol solution. In the complex, the four Co cations all display distorted octahedral coordination environments and they are bridged by two κ²,κ¹,κ¹;μ₃‐mosao²⁻ ligands, two κ²,κ²;μ₂‐Hmosao⁻ ligands and two μ₂‐N₃⁻ anions to form a tetranuclear [Co₄N₄O₄] cluster. Adjacent clusters are connected through weak C—H...N and C—H...O interactions, resulting in a two‐dimensional supramolecular network parallel to the ac plane. The magnetic properties of the complex have also been studied.     

Five new triterpenoid saponins from the roots of Platycodon grandiflorum

Five new triterpenoid saponins, platycoside H [3-O-beta-D-glucopyranosyl-(1-->6)-beta-D-glucopyranosyl-2beta,3beta,16alpha,23-tetrahydroxyolean-12-en-28-oic acid 28-O-beta-D-xylopyranosyl-(1-->4)-alpha-L-rhamnopyranosyl-(1-->2)-alpha-L-arabinopyranoside], platycoside I [3-O-beta-D-glucopyranosyl-(1-->6)-beta-D-glucopyranosyl-(1-->6)-beta-D-glucopyranosyl-2beta,3beta,16alpha,23-tetrahydroxyolean-12-en-28-oic acid 28-O-beta-D-xylopyranosyl-(1-->4)-alpha-L-rhamnopyranosyl-(1-->2)-alpha-L-arabinopyranoside], platycoside J [3-O-beta-D-glucopyranosyl-2beta,3beta,16alpha,23-tetrahydroxyolean-12-en-28-oic acid 28-O-beta-D-xylopyranosyl-(1-->4)-alpha-L-rhamnopyranosyl-(1-->2)-alpha-L-arabinopyranoside], platycoside K [3-O-beta-D-glucopyranosyl-(1-->3)-beta-D-glucopyranosyl-2beta,3beta,16alpha,23,24-pentahydroxyolean-12-en-28-oic acid], and platycoside L [3-O-beta-D-glucopyranosyl-(1-->6)-beta-D-glucopyranosyl-2beta,3beta,16alpha,23,24-pentahydroxyolean-12-en-28 oic acid], and three known triterpenoid saponins, platycoside F, platycoside B, and platycoside C, were isolated from the roots of Platycodon grandiflorum A. DC. Their chemical structures were elucidated on the basis of their spectral data and chemical evidence.     

'Magic blue'--subtle reagent for EPR studies on H-abstraction from various substrates

This paper is an EPR study on the generation of new 'magic blue' (MB) reagent containing bis{perfluoro[1-(2-fluorosulfonyl)ethoxy]ethyl}nitroxide 2 and perfluoro[1-nitroso-1-(2-fluorosulfonyl)ethoxy]ethane 3, both bearing chemically convertible terminal omega-fluorosulfonyl group -SO2F, and its H-abstraction reactions from arylalkanes, alcohols, aldehydes and polymers, leading to a large number of new fluorinated nitroxides (FN).     

Human fibrinogen adsorption onto single-walled carbon nanotube films

The adsorption behavior of human fibrinogen (Hfg) on single-walled carbon nanotube (SWNT) films was investigated using scanning electron microscopy (SEM) and near edge X-ray absorption fine structure (NEXAFS) spectroscopy. It was shown in the SEM images that fibrinogen was adsorbed strongly on the surface of SWNT when the samples were incubated in the Hfg solutions for 10 min. The dependence of adsorption on the concentration of fibrinogen was also investigated and it was found that adsorption increased with increasing concentration. In order to further explore the adsorption of fibrinogen on SWNT surface, NEXAFS spectra were obtained at the N K-edge and the C K-edge. The results confirmed the conclusion regarding the dependence of adsorption on fibrinogen concentration. It is demonstrated that, due to its high sensitivity to the surface elements, NEXAFS spectroscopy is a powerful tool to investigate the adsorption of fibrinogen on SWNT films.     

Null Flows and Null Functions on \mathbb{R}

In this paper, we introduce the notion of null flows via sequence entropy. We study the structure of minimal null flows and show that such a flow is almost automorphic and uniquely ergodic. Moreover, minimal null functions on are defined and investigated. At the same time, we show that the set of almost automorphic flows strictly contain the set of minimal null flows which strictly contain the set of almost periodic flows.