Remarks on the Regularity to 3-D Ideal Magnetohydrodynamic Equations

In this paper we are interested in the sufficient conditions which guarantee the regularityof solutions of 3-D ideal magnetohydrodynamic equations in the arbitrary time interval [0,T].Fivesufficient conditions are given.Our results are motivated by two main ideas:one is to control theaccumulation of vorticity alone;the other is to generalize the corresponding geometric conditions of3-D Euler equations to 3-D ideal magnetohydrodynamic equations.     

Weak and Strong Solutions for the Stokes Approximation of Non-homogeneous Incompressible Navier-Stokes Equations

In this paper,the Dirichlet problem of Stokes approximate of non-homogeneous incompressibleNavier-Stokes equations is studied.It is shown that there exist global weak solutions as well as global andunique strong solution for this problem,under the assumption that initial density ρ_0(x)is bounded away from0 and other appropriate assumptions(see Theorem 1 and Theorem 2).The semi-Galerkin method is applied toconstruct the approximate solutions and a prior estimates are made to elaborate upon the compactness of theapproximate solutions.     

4,4′-二乙炔二苯甲烷与苯乙炔的共聚及共聚物的表征研究

本文做了4,4′-二乙炔二苯甲烷的本体热均聚和催化均聚,并用(Ph_3P)_2PdCl_2为催化剂做了4,4′-二乙炔二苯甲烷与苯乙炔的共聚,对均聚和共聚物中的不溶不熔组分测定了密度、溶胀度、Huggins参数以及交联点间的平均分子量(?)_c。实验表明,该交联聚合物的最良溶剂是四氢呋喃,溶度参数为9.9ca1~0.5。cm~(-1.5),当用四氢呋喃为溶剂时的Huggins参数为0.34,并且在单体摩尔比中4,4′-二乙炔二苯甲烷用量越多,溶胀度越小,交联度越大。红外光谱分析表明,所有均聚及共聚物都为反式结构。     

4,4′-二乙炔二苯甲烷与苯乙炔的共聚及共聚物的表征研究

 本文做了4,4′-二乙炔二苯甲烷的本体热均聚和催化均聚,并用(Ph₃P)₂PdCl₂为催化剂做了4,4′-二乙炔二苯甲烷与苯乙炔的共聚,对均聚和共聚物中的不溶不熔组分测定了密度、溶胀度、Huggins参数以及交联点间的平均分子量M_c。实验表明,该交联聚合物的最良溶剂是四氢呋喃,溶度参数为9.9ca1^0.5。cm^-1.5,当用四氢呋喃为溶剂时的Huggins参数为0.34,并且在单体摩尔比中4,4′-二乙炔二苯甲烷用量越多,溶胀度越小,交联度越大。红外光谱分析表明,所有均聚及共聚物都为反式结构。     

高效液相色谱-四极杆/静电场轨道阱高分辨质谱法快速分析三子散的入血成分及代谢产物

蒙药三子散由诃子、川楝子、栀子3味药材等比例组成,其临床用药主要采用口服给药方式,药物在体内的吸收、分布、代谢、排泄过程与药物发挥药理作用和疗效的产生密切相关,因此考察灌胃给药后的入血成分有助于阐明三子散的药效物质基础。研究采用血清药物化学研究思路,将Wistar大鼠分成空白组和给药组,给药组给予三子散水提物,腹主动脉取血,离心制备血清样品,采用高效液相色谱-四极杆/静电场轨道阱高分辨质谱(HPLC-Q/Orbitrap HRMS),在SHIMADZU GIST C₁₈色谱柱(150 mm×4.6 mm, 5 μm)上进行色谱分离;以甲醇和0.1%(v/v)甲酸水溶液为流动相进行梯度洗脱,柱温30 ℃,流速0.5 mL/min,进样量10 μL,采用加热电喷雾电离(HESI)源,正、负离子同时扫描。通过比对三子散含药血清和空白血清的图谱差异,查阅数据库、各类成分体内代谢途径、三子散成分的相关文献,采用Xcalibur 3.0软件进行峰提取、峰匹配等质谱数据处理,结合Compound Discover 3.0软件对化合物代谢途径的预测分析和裂解规律的推断,解析三子散水提液经大鼠灌胃后血清中的原型成分和代谢产物。结果表明,在给药大鼠血清样品中鉴定出55种入血成分,其中41种原型成分,14种代谢产物。入血的原型成分主要为鞣质类、环烯醚萜类和小分子酚酸类。该研究较为全面地阐释了三子散水提液在大鼠血中的移行成分,有助于揭示三子散的药效物质基础,为该药的临床应用提供参考。     

EXISTENCE OF WEAK SOLUTIONS OF 2－D EULER EQUATIONS WITH INITIAL VORTICITY ω_0∈E（log~＋L）~α（α＞0）

ＥＸＩＳＴＥＮＣＥＯＦＷＥＡＫＳＯＬＵＴＩＯＮＳＯＦ２－ＤＥＵＬＥＲＥＱＵＡＴＩＯＮＳＷＩＴＨＩＮＩＴＩＡＬＶＯＲＴＩＣＩＴＹω＿０∈Ｅ（ｌｏｇ￣＋Ｌ）￣α（α＞０）ＪＩＵＱＵＡＮＳＥＮ（ＩｎｓｔｉｔｕｔｅＯｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ｔ...     

新型双β-二酮配体的合成

没食子酸甲酯与乙酰丙酮反应合成了一种新型双β-二酮配体--1,5-二(3,4,5-三羟基)苯甲酰基乙酰丙酮(L),收率84.3%,其结构经1H NMR,FT-IR,TG-DTA和元素分析表征.L具有较好的热稳定性,分解温度高于200 ℃.     

Global regularity for modified critical dissipative quasi-geostrophic equations

We consider the n-dimensional modified quasi-geostrophic (SQG) equations

t_∂θ + u . ∇θ + κΛαθ = 0,${\partial }_t\theta \hspace{0.17em}+\hspace{0.17em}u\hspace{0.17em}.\hspace{0.17em}\nabla \theta \hspace{0.17em}+\hspace{0.17em}\kappa {\Lambda }^{\alpha }\theta \hspace{0.17em}=\hspace{0.17em}0,$

u = Λα-1 R^⊥θ$u\hspace{0.17em}=\hspace{0.17em}{\Lambda }^{\alpha -1}\hspace{0.17em}{R}^{\perp }\theta$

with κ > 0, α ∈ (0,1] and θ₀ ∈ W1, ∞ (?ⁿ). In this paper, we establish a different proof for the global regularity of this system. The original proof was given by Constantin, Iyer, and Wu [5], who employed the approach of Besov space techniques to study the global existence and regularity of strong solutions to modified critical SQG equations for two dimensional case. The proof provided in this paper is based on the nonlinear maximum principle as well as the approach in Constantin and Vicol [2].     

三维Boussinesq方程组大解的全局L~2稳定性

对三维有界及无界区域上的Boussinesq方程的全局L~2稳定性进行了讨论.在解满足适当的条件下,证明了此解为稳定的,并得出此稳定性条件的等价性条件,最后得出了二维Boussinesq方程组在三维扰动下的解的全局存在性和稳定性.     

土槿皮酸类化合物的质谱研究

本文系统地研究了土槿皮甲酸、乙酸和丙酸及其衍生物的质谱.通过质谱-结构关系的分析、高分辨质谱及亚稳数据的测定,阐明了它们在电子轰击下的裂解反应机制.