Well-posedness,wave breaking and peakons for a modified μ-Camassa–Holm equation

Considered herein is a modified periodic Camassa–Holm equation with cubic nonlinearity which is called the modified μ-Camassa–Holm equation. The proposed equation is shown to be formally integrable with the Lax pair and bi-Hamiltonian structure. Local well-posedness of the initial-value problem to the modified μ-Camassa–Holm equation in the Besov space is established. Existence of peaked traveling-wave solutions and formation of singularities of solutions for the equation are then investigated. It is shown that the equation admits a single peaked soliton and multi-peakon solutions with a similar character of the μ-Camassa–Holm equation. Singularities of the solutions can occur only in the form of wave-breaking, and several wave-breaking mechanisms for solutions with certain initial profiles are described in detail.     

(∈,∈∨ q(λ,μ))-模糊强正则子半群

本文是正则半群的模糊化研究工作的继续,首先给出了广义模糊强正则子半群的概念,其次基于模糊点理论给出了(∈,∈∨ q(λ,μ))-模糊强正则子半群的概念,并且讨论了它们的相关性质.最后获得了(∈,∈∨ q(λ,μ))-模糊强正则子半群的同态像与同态原像的有关性质.     

具有非倍测度的参数型Marcinkiewicz积分交换子在Hardy空间的有界性

主要证明了由参数型Marcinkiewicz积分M~p和Lipschitz函数b生成的交换子M_b~p的有界性.在M的核满足一定的条件下,证明了M_b~p不仅从Lebesgue空间L~(n/(n-β))(μ)到Hardy空间H~1(μ)有界,而且从Lebesgue空间L~(n/β)(μ)到RBMO(μ)有界.     

Production of bioactive compounds from callus of Pueraria thomsonii Benth with promising cytotoxic and antibacterial activities

For thousands of years Pueraria thomsonii Benth has been used to treat a number of diseases in traditional Chinese pharmacopeia. Despite these uses, there is still insufficient information on its biological activity and chemical composition. In this respect, the in vitro callus culture of P. thomsonii was subjected to identify anticancer and antibacterial compounds. Based on significant preliminary cytotoxicity and antibacterial activities; the chemical investigation led to the isolation of isoflavonoids, coumaric acid derivative and dihydroxyflavanone-type of compounds viz., daidzin (1), puerarin (2), biochanin A (3), daidzein (4), p-coumaric acid ethyl ester (5) and liquiritigenin (6), respectively. These compounds were tested for their cytotoxicity and antibacterial activities. Among them, p-coumaric acid ethyl ester (5) exhibited significant cytotoxicity with GI₅₀ values of 14.73, 15.64 and 20.88 μM/mL against 4T1, NC1-H1975 and A549, respectively; the other isoflavones and aflavonoid showed moderate to weak activities. Moreover, p-coumaric acid ethyl ester (5) inhibited the growth of K. pneumonia, MRSE and MRSA at very low MIC values of 6.01, 12.01 µg/mL 24.02, respectively. On the other hand compounds biochanin A (3) and liquiritigenin (6) showed moderate antibacterial activity. Because of the potential anticancer and antibacterial activities of bioactive compounds from P. thomsonii, they can be used to treat various cancer and emerging bacterial infections.     

Synthesis,structure, magnetic properties and kinetics of formation of a cluster containing a {Cu3(μ3-OH)} core supported by a triazole-based ligand

The trinuclear copper complex, [Cu₃(μ₃-OH)(CTMB)₃(NO₃)₂(CH₃CN)₂]·5CH₃CN·H₂O (1) {CTMB = cyclohexotriazole-3-(4-methoxybenzamide)}, has been prepared by mixing Cu(NO₃)₂·2.5H₂O and CHMBH {CHMBH = N,N′-cyclohexane-1,2-diylidene-bis(4-methoxybenzoylhydrazide)} in acetonitrile under ambient conditions. Compound 1 was characterized by IR and UV–visible spectroscopies as well as elemental analyses. X-ray crystallography shows that the cluster contains a {Cu₃(μ₃-OH)} core supported by three triazole-based Schiff base ligands. Each Cu is bound to the 2-N of one triazole ring and the 1-N of another. However, the coordination sphere of each Cu is different, one is five-coordinate and the other two are six-coordinate and bridged by a NO₃ group. The six-coordinate sites are different, one has a terminal NO₃ and the other a MeCN ligand. Magnetic measurements revealed the presence of isotropic and antisymmetric exchange between the copper(II) centers. The data were analyzed using the Hamiltonian containing isotropic exchange for an isosceles triangle together with antisymmetric exchange: H = –J₁(S₁S₂ + S₂S₃)?J₂S₁S₃ + G[S₁ × S₂ + S₂ × S₃ + S₃ × S₁]. Compound 1 exhibits strong antiferromagnetic coupling with J₁ = ?180 and J₂ = ?118 cm^?1 and antisymmetric exchange with G_z = 15 cm^?1. Stopped flow spectrophotometric studies show that the formation of 1 occurs in three distinct phases and the kinetics of each phase has been determined.     

Microfluidics and electrochemistry: an emerging tandem for next-generation analytical microsystems

Microfluidic and electrochemical technologies have been at the forefront of the development of emerging analytical microsystems. Microfluidics and electrochemistry show a synergistic relationship, empowering their inherent features. Thus, integration of microfluidics and electrochemical (bio)sensors is envisioned as a powerful tandem for boosting the next generation of lab-on-a-chip platforms, including point-of-care and point-of-need systems. In this review, a general overview of the advantages, drawbacks, and gaps as well as remaining challenges and future trends of coupling microfluidics and electrochemical cells is presented. Special attention is given to the manufacturing and scale-up of the integrated devices and all those aspects that can push on the development of true lab-on-a-chip platforms for reaching the industrial domain and actual commercialization.     

甲基丙烯酸酯毛细管整体柱分离微囊藻毒素的研究

以甲基丙烯酸丁酯为单体,乙二醇二甲基丙烯酸酯为交联剂,在致孔剂存在的条件下原位聚合制备了甲基丙烯酸丁酯毛细管整体柱(150 μm i.d.)。实验中优化了用此整体柱分离3种微囊藻毒素(MC-LR,-YR和-RR)的色谱条件(流动相种类、缓冲溶液浓度、pH、流动相流速),建立了微囊藻毒素的整体柱毛细管液相色谱分离方法,该法可以在9 min之内实现3种微囊藻毒素的基线分离。将该方法应用于实际水样中微囊藻毒素的分析,成功实现了培养水样和巢湖水样中微囊藻毒素的快速分离,两种样品中均检测到MC-LR。结果表明,所制备的甲基丙烯酸酯毛细管整体柱具有良好的重现性、渗透性,在微囊藻毒素的常规检测中具有很好的应用前景。     

2<Emphasis Type="Italic">µ</Emphasis>m Laser based on an electro-optical <Emphasis Type="Italic">Q</Emphasis>-switched intracavity KTP optical parametric oscillator

An 2 μm pulse laser based on an intracavity optical parameter oscillator (OPO) pumped by an electrooptical Q-switched 1.064 μm laser is realized. A type-II phase-matched (θ = 51.5° and φ = 0) KTP crystal and a limiting diaphragm with a diameter of 4 mm were used. The parameters of the KTP-OPO tuning curves as a function of the phase matching angles were analyzed for the case of 1.064 μm laser pumping. Experiments based on single and double KTPs for walk-off compensation were performed. An output energy of 26 mJ in the 2 μm wavelength region was obtained with a pump-to-signal conversion efficiency of 26%. The center wavelengths of the signal and idle lights were 2165.4 and 2088.6 nm with a FWHM of 3.8 and 4 nm, respectively.     

3.8μm激光破坏三元PC型HgCdTe探测器系统的实验研究

对3.8μm激光破坏三元PC型HgCdTe探测器系统的实验结果进行定性分析。实验结果表明：当辐照在探测器系统上的激光功率密度达411W/cm2时,系统内各部件（Ge窗口、滤光片及探测器）已严重损坏,探测器系统永久失效。分析认为：实验中引起探测器系统破坏的主要原因是温度升高引起的烧蚀热。     

微晶硅n-i-p太阳电池中n型掺杂层对本征层结构特性的影响

采用高压射频等离子体增强化学气相沉积方法在非晶和微晶两种n型硅薄膜衬底上沉积了一系列不同厚度的本征微晶硅薄膜,研究了不同n型硅薄膜对本征微晶硅薄膜的表面形貌、晶化率和结晶取向等结构特性的影响.结果表明,本征微晶硅薄膜结构对n型掺杂层具有强烈的依赖作用,微晶n型掺杂层能够有效减少n/i界面非晶孵化层的厚度,改善本征微晶硅薄膜的纵向均匀性,进而提高微晶硅n-i-p太阳电池性能. 关键词： 孵化层 微晶硅薄膜 纵向均匀性 n-i-p太阳电池