A new thermo‐responsive block copolymer with tunable upper critical solution temperature and lower critical solution temperature in the alcohol/water mixture

The multi‐thermo‐responsive block copolymer of poly[2‐(2‐methoxyethoxy)ethyl methacrylate]‐block‐poly[N‐(4‐vinylbenzyl)‐N,N‐diethylamine] (PMEO₂MA‐b‐PVEA) displaying phase transition at both the lower critical solution temperature (LCST) and the upper critical solution temperature (UCST) in the alcohol/water mixture is synthesized by reversible addition‐fragmentation chain transfer polymerization. The poly[2‐(2‐methoxyethoxy)ethyl methacrylate] (PMEO₂MA) block exhibits the UCST phase transition in alcohol and the LCST phase transition in water, while the poly[N‐(4‐vinylbenzyl)‐N,N‐diethylamine] (PVEA) block shows the UCST phase transition in isopropanol and the LCST phase transition in the alcohol/water mixture. Both the polymer molecular weight and the co‐solvent/nonsolvent exert great influence on the LCST or UCST of the block copolymer. By adjusting the solvent character including the water content and the temperature, the block copolymer undergoes multiphase transition at LCST or UCST, and various block copolymer morphologies including inverted micelles, core‐corona micelles, and corona‐collapsed micelles are prepared. © 2013 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2013, 51, 4399–4412     

Existence, upper and lower solutions and quasilinearization for singular differential equations

In this paper, we discuss existence theorems in the presenceof upper and lower solutions as well as the method of quasilinearization(QSL) for general non-linear second-order singular ordinarydifferential equations. We show the existence of solutions underthe assumption of weak continuity of the non-linear part. Ifthe non-linear part is monotone decreasing, a solution may beobtained by the QSL method as the strong limit of a quadraticallyconvergent sequence of approximate solutions. Under strongerassumptions on the linear and the non-linear parts, a solutionis quadratically bracketed between two monotone sequences ofapproximate solutions of certain related linear equations.     

Banach空间非线性脉冲Fredholm型积分方程的耦合极值拟解

In recent years, the research in integral equations in Banach spaces has achieved many results (refer to ［1］, ［2］, ［3］ etc.). It is well known that, generally, one must first establish the comparison theorem before applying the method of (coupled) lower and upper (quasi)solutions to investigate the (quasi)solutions of integral equations. This can be easily done for Volterra integral equations, but seems impossible for the cases of Fredholm type. Though ［3］ avoided the establishment of…     

一类二阶奇异微分方程正解的存在唯一性

利用上下解方法,不动点理论研究奇异微分方程u" f(t,u)=0,t∈(0,1)在边界条件au(0)-βu'(0)=0,γu(1) δu'(1)=0下C[0,1]正解和C1[0,1]正解的存在性与唯一性.其中非线性项f(t,u)关于u是减的,仅满足较弱的要求.     

Sea wave spectra by electromagnetic techniques

Summary Sea wave measurements have been carried out in the Sicilian Channel using a navigational radar for the lower-frequency component and a teflon-coated wire (Goubau line) for the high-frequency component. The results are discussed and the continuity of the complete spectrum is clearly proved.

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Riassunto Mediante nuove tecniche elettromagnetiche è stata misurata l'ondosità del mare nel Canale di Sicilia. è stato ottenuto lo spettro completo del mare, dalla banda di gravità a quella capillare, grazie all'impiego congiunto di un radar di navigazione che fornisce la componente a bassa frequenza, e di un nuovo ondametro a microonde a filo che misura in modo assoluto la componente a bassa frequenza. Si discutono i risultati ottenuti e si dimostra la validità dei sistemi impiegati.

     

Observations of coastal upwelling off northwest Africa using meteosat data

Summary One month of Meteosat IR data has been used to study the upwelling phenomenon along the northwest coasts of Africa. The analysis has shown the presence of a cold water strip along the coastline (1500 km long and (100÷200) km wide) characterized by a sea surface temperature of almost 3°C lower than the surroundings. The synoptic view offered by Meteosat evidentiated the simultaneous presence of two zones of the upwelling regime characterized by a different behaviour: the C. Bojador zone where the oscillations of the cross-shore thermal gradient measured by satellite follow quite well the daily variation of the large-scale meteorological forcings and the C. Ghir zone where the phenomenon is not always present and is more related to local forcings and coastal geometry. The general features resulting from our study are in agreement with the results of in situ previous measurements.

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Riassunto Il fenomeno dell'upwelling lungo le coste del nord-ovest dell'Africa è stato studiato utilizzando un mese di dati del statellite Meteosat relativi al canale dell'infrarosso. L'analisi di questi dati ha mostrato la persistenza di una striscia di acqua fredda lungo costa (lunga circa 1500 km e larga (100÷200) km) caratterizzata da una temperatura superficiale di almeno 3 °C piú bassa rispetto alle acque circostanti. La visione sinottica di tutta la zona del nord-ovest dell'Africa fornita dal Meteosat ha permesso di evidenziare due zone di upwelling caratterizzate da un regime differente: la zona di Capo Bojador, dove le variazioni del gradiente termico perpendicolare alla costa misurato da satellite seguono le oscillazioni dei forzanti meteorologici a grande scala, e la zona intorno a Capo Ghir, dove il fenomeno dell'upwelling non è sempre presente e dove i forzanti locali e la geometria della costa sembrano avere un ruolo predominante. Le strutture oceanografiche evidenziate dall'analisi delle immagini da satellite e la loro evoluzione temporale sono risultate consistenti con le precedenti osservazioni basate su tecniche convenzionali.

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Резюме Инфракрасные данные с метеоспутника в течение одного месяса используются для исследования явления ?апвелинга? вдоль северного побережья Африки. Проведенный анализ показывает наличие узкой полосы холодной воды вдоль береговой линии (1500 км в длину и (100÷250) км в ширину), которая характеризуется поверхностной температурой ночти на 3 °C ниже, чем температура окружающих слоёв. Данные с метеоспутника указывают на одновременное присутствие двух различных зон, которые имеют различное поведение в режиме ?апвелинга?. Общие особенности, полученные из проведённых исследований, хорошо согласуются с результатами предыдущих измерений на месте.

     

Effect of aromatic substitution on phase behavior of blends of halogenated polystyrene and conventional polystyrene

Miscibility phase behavior in blends of poly(bromostyrene) with polystyrene (PS) has been investigated by means of time‐resolved light scattering, optical microscopy, and DSC. Cloud point phase diagrams of blends of conventional PS with poly‐(2‐bromostyrene) (P2BrS), poly‐(3‐bromostyrene), and poly‐(4‐bromostyrene) of comparable molecular weights were established by light scattering. Of particular interest is the fact that ortho, meta, and para substitutions in the styrenic aromatic rings of poly(bromostyrene) show profound effects on the composition–temperature phase diagrams of their blends with PS, exhibiting a lower critical‐solution temperature (LCST), an upper critical solution temperature (UCST), and combined LCST/UCST diagrams, respectively. Poly‐(2‐chlorostyrene) exhibits an LCST behavior very close to that of the P2BrS blend, suggesting that these types of halogen atoms may be inconsequential to phase behavior. A similar study has been extended to a PS blend containing commercial brominated PS (66 mol % bromine substitution) to determine what location of bromine substitution is crucial for miscibility enhancement in the flame‐retardant brominated PS blends. © 2001 John Wiley & Sons, Inc. J Polym Sci Part B: Polym Phys 39: 1605–1615, 2001     

保费收取过程是随机过程的双险种风险模型

研究保费收取过程是一个随机过程的双险种风险模型,得出了Lundberg上界、最终破产概率、不破产所满足的微积分方程、索赔服从指数分布的不破产概率、有限时间不破产所满足的微积分方程.     

Block monotone iterative algorithms for variational inequalities with nonlinear operators

Some block iterative methods for solving variational inequalities with nonlinear operators are proposed. Monotone convergence of the algorithms is obtained. Some comparison theorems are also established. Compared with the research work in given by Pao in 1995 for nonlinear equations and research work in given by Zeng and Zhou in 2002 for elliptic variational inequalities, the algorithms proposed in this paper are independent of the boundedness of the derivatives of the nonlinear operator.     

向量优化问题有效解的稳定性

运用标量化的方法,通过锥正定真有效解的上半连续性讨论了无限维赋范空间中锥有效解的部分上半连续性,证明了锥有效解的通有稳定性.在此基础上,进一步证明,在Baire纲的意义下,绝大多数的向量优化问题至少存在一个锥正定真有效解是本质的有效解,换句话说,绝大多数的向量优化问题锥有效解是几乎下半连续的.