Boundedness of rough Marcinkiewicz integrals operators associated the surface of revolution

本文主要研究沿旋转曲面的粗糙核奇异积分算子在Lebesgue空间的有界性.全文共分两章,第一章致力于研究沿旋转曲面的单参数Marcinkiewicz积分算子,在积分核属于Hardy空间$H^1(S^{n-1})$或Orlicz型空间L({\rmlog}L)^{1/2}(S^{n-1})的条件下建立了这些算子的$L^p$有界性($11/2$)下,建立了这些算子在乘积$L^{p}$空间中的有界性(1+1/2\az<p<1+2\az)This dissertation is devoted to studying of Marcinkiewicz integraloperators with rough kernels associated to surfaces of revolution.It consists of two chapters. The first chaper is concerned with the one-parametered Marcinkiewiczintegral operators. The $L^p$-boundedness of these operators areobtained if the kernel functions belong to $H^1(S^{n-1})$ or L({\rmlog}L)^{1/2}(S^{n-1}), 1<p<\fz...学位：理学硕士院系专业：数学科学学院信息与计算数学系_基础数学学号：20042302

Existences to Fractional Heat Flow, Intergral equation and Liquid Crystal Flow and Related Topics

本文讨论了三个偏微分方程组解的存在性以及解的相关性质\hbox{。} 全文共分为三个部分\hbox{。}第一部分为本文的第三章， 主要研究一个广义的热流方程，即：$$\left\{\begin{array}{ll} \displaystyle\frac{\partial\mathbf{u}}{\partial t}=-\wedge^{2\alpha}\mathbf{u}+(\wedge^{2\alpha}\mathbf{u}，\mathbf{u})\mathbf{u}，\\displaystyle\mathbf{u}(x，0)=\mathbf{u}_0(x)，\\displaystyl...This dissertation which consists of three parts, is devoted to studying the existence of three partial differential equations and related properties. Part 1, which is the third chapter in this paper, studies the existence of generalized heat flow equation involving fractional Laplacian. i.e., \begin{displaymath} \left \{\begin{array}{ll} \displaystyle \frac{\partial \mathbf{u}}{\partial ...学位：理学博士院系专业：数学科学学院数学与应用数学系_应用数学学号：1902007015386

ROUGH MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS

In this article,certain Marcinkiewicz integral operators associated to surfaces of revolution on product domains were studied. The Lp boundedness for these operators are established under some rather weak conditions on kernels. The main results essentially improve and extend some known results

一类共形不变摄动积分方程正解的存在性

本文讨论了一类共形不变摄动积分方程正解的存在性.我们证明了:当参数对(p,q)属于集合(n,0)×(0,∞)且pq+p+2n=0时,对应摄动积分方程存在正解;而当参数对(p,q)属于集合(0,∞)×(∞,0)也满足pq+p+2n=0时,摄动积分方程不存在非负解.这与原共形不变积分方程有着本质的不同,此结果隐含着这类积分方程正解的存在性取决于解在无穷远处的性态

Piecewise Matching Method of Transducer for Broadband Underwater Acoustic Transmitter System

换能器与功率放大器之间的匹配网络设计是宽带大功率水声发射系统的关键技术之一。把水声换能器、功率放大器及其联系两者的匹配网络视为一整体,从系统的观点出发,提出了一种分频段匹配宽带水声换能器的处理方法。通过对水声换能器的导纳特性和发射电压响应的分析,合理地选择匹配网络参数。该方法能充分发挥换能器在不同频段中的特性,实现水声发射系统的宽频带工作。水池实验验证了该方案的有效性:在2--16 kHz带宽范围内,发射电压响应级起伏ΔTVr和发射声源级起伏ΔSl均得到改善,尤其在感兴趣的4--15 kHz的宽带范围内,功率因数得到显著改善,功放管耗明显降低,发射电压响应级起伏ΔTVr从21 db降到14 db,发射电压声源级起伏ΔSl从24 db降到7 db,但对功放的安全保护电路提出了更高的要求。Matching network design between the transducer and the power amplifier is one of the key techniques for the broadband,high power underwater acoustic transmitter system.Treating the transducer,the power amplifier and the matching network as one entirety,a new piecewise matching method was proposed.By analyzing the admittance characteristics and the transmitting voltage response of the transducer,the matching network parameters were chosen reasonably.With the goal of increasing transmitting bandwidth and improving power factor,the new piecewise matching method provides a good performance.The water-tank experiments show for the bandwidth of 2-16 kHz,both the fluctuation dynamic range of transmitting voltage response level ΔTVR and the transmitting source level ΔSL are well-controlled;especially for the interested bandwidth of 4-15 kHz,the power factor is increased and the power dissipation is reduced obviously,the fluctuation dynamic range of transmitting voltage response level ΔTVR decreases from 21 dB to 14 dB,the fluctuation dynamic range of the transmitting source level ΔSL decreases from 24 dB to 7 dB,however,the better protection circuit is required to the power amplifier of the system,which demonstrate the effectiveness of the system.国家自然科学基金资助项目(40776022);国家“863”计划专项课题(2006AA09Z108);教育部高等学校博士学科点专项科研基金(20090121110001

基于Visual Basic的无级变速器脉动发生机构的运动仿真

利用Visual Basic面向对象以及包含协助开发环境的事件驱动为机制的可视化程序设计的特点,进行无级变速器脉动发生机构的运动仿真。从运动仿真中对脉动式无级变速器的机构性能进行研究。已探讨出了一种四边形的高效率脉动发生机构

The Physiochemical Characteristics of Intestine Proteinase Taken from Little Egret and Cattle Egret

对白鹭(Egretta garzetta)和牛背鹭(Bubulcus ibis)雏鸟肠蛋白酶进行研究.两种鹭类的肠蛋白酶存在着许多共同的理化特性,包括分子量(39.4 kD)、等电点(5.4~7.5)、耐热性、抗冻融能力、最适温度(65℃)、最适 pH(9.0 和 8.6)等,而且两种鹭类的肠道蛋白酶对重金属离子Ag+和Hg2+、EDTA、或 Ca2+ 和 Mg2+ 的影响也表现出相同的反应.白鹭和牛背鹭的肠蛋白酶比活力存在着不显著的差异(1.63±0.62SE和 2.21±0.80SE)( 'P>0.05).白鹭和牛背鹭肠道蛋白酶为中性蛋白酶.活性中心的研究表明:两种鹭类的肠道蛋白酶的活性中心都含有色氨酸和丝氨酸残基,但是不含精氨酸、半胱氨酸和氨基,因此,主要为丝氨酸蛋白酶.The intestine proteinases taken from nestling of Little Egret(Egretta garzetta)and Cattle Egret (Bubulcus ibis) were studied.The characteristics of intestine proteinase were similar between the two egret species, which included molecular weight ((39.4) kD),PI (from 5.4 to 7.5),thermal-stability,optimal temperature(65℃)and optimal pH value(9.0 and 8.6 for Little Egret and Cattle Egret respectively).The intestine proteinase of the two egret species had the same responses to the effect of Ag~+ and Hg~(2+),EDTA ,or Mg~(2+) and Ca~(2+).No significant difference of the relative activities of the intestine proteinase were found between Little Egret and Cattle Egret(1.63±0.62 SE unit/μg and 2.21±0.80 SE unit/μg respectively).Both intestine proteinases from Little Egret and Cattle Egret were dispases.The modification results of active central group indicated that the proteinase in two ardeids similarly had the serine residue and tryptophane residue,but hadn’t amino residue,arginine residue or cysteine residue.These results suggested that intestine proteinase in ardeids should mainly be serine proteinase.福建省自然科学基金( D9910003 );; 厦门科技项目(3502Z20031104)项

一种棒状钙钛复合物巨电流变液及其制备方法

本发明涉及到一种棒状钙钛沉淀复合物巨电流变液及其制备方法，其包括采用液体绝缘介质的连续相和分散在其中的分散相，其特征在于：所述的分散相为纳米级的棒状结构的钙钛沉淀复合物颗粒，并且分散相的质量浓度为10～75％。其制备方法是先通过共沉淀法合成棒状钙钛复合物纳米颗粒，再使其与低介电常数的液体绝缘介质混合均匀，制得钙钛复合物巨电流变液。与现有技术相比，本发明所提供的钙钛复合物巨电流变液制备方法简单，容易操作，原材料成本低，制备周期短，得到的巨电流变液具有初始粘度低、屈服应力大、漏电流密度低等优点

钛氧基材料电流变液及其制备方法

本发明公开了一种钛氧基材料电流变液，包括液体绝缘介质和分散在液体绝缘介质中的分散相，所述的分散相为纺锤状钛氧基颗粒，该钛氧基颗粒的直径为500nm～10&mu;m，长径比为1.3～7；所述的钛氧基材料电流变液中的钛氧基颗粒的体积浓度为5％～40％。本发明还公开了其制备方法，先将草酸与钛盐在水醇溶剂中溶解，再将其滴加到无水氯化钙的水醇溶液中制备钛氧基颗粒，再与液体绝缘介质均匀混合而得。本发明钛氧基材料电流变液，具有较高的电流变效率，漏电流密度低，而且结构稳定，无毒，无污染，此外，该钛氧基电流变液成本低廉，制备工艺简单，制备周期短