新一类广义强非线性拟-似变分包含问题

在Hilbert空间研究了新一类广义强非线性拟—似变分包含问题，给出了其解的存在唯一性证明，所得结果改进和推广了文献中的一些已知结果。     

叠加势V(r)=A_1r~6+A_2r~2+B_2r~(-4)+B_1r(-6)径向Schrdinger方程的解析解

采用连分法得到了幂函数与逆幂函数V(r)=A1r6+A2r2+B2r-4+B1r-6的叠加势径向Schrodinger方程的 解析解.     

C_0-半群的脉冲扰动与一类半线性脉冲发展方程(英文)

研究无限维Banach空间中一半群的脉冲扰动及一类非线性脉冲系统的温和解的存在性、唯一性、正则性和连续依赖性,最后给出例子加以说明。     

Dynamical framework with blocking topography coordinates for atmospheric GCM and its validation

The dynamical framework with Blocking Topography Coordinates (hereafter, BTC), which is suited to handle the steep topography for the atmospheric general circulation models, is presented in this paper, together with its validation results. The integral properties of both the differential and finite-difference equations for the BTC dynamical core are: gross mass conservation, quadratic conservation for advection terms, Coriolis force does not change the kinetic energy, conservation of total available energy. The improved nonlinear iteration scheme is utilized for the time-integration. The energy conservation for BTC dynamical core is validated by using the integration results from 9-layer and 21-layer version respectively. Comparison results show that, the changes of the kinetic energy and total available potential energy during the integration are quite close for both the BTC dynamical framework and the dynamical framework of IAP 9-level and IAP 21-level AGCM, and this may suggest that the BTC dynamical core can be used for long-term integration with good computational stability. Furthermore, the BTC dynamical core has the advantage over the terrain following (sigma) coordinates in its better representation of the influence of the large-scale topography on the atmospheric general circulation. Finally, the correctness and reasonableness of the BTC dynamical core has been further proved by the numerical simulation of the topography influence on the quasi-stationary planetary wave with 21-layer version of BTC dynamical framework.     

An iterative algorithm in potential-field inversion

1　Principle and MethodAll the problems of potential- field inversioncan be concluded that of solving nonlinear functionas follows:b =f( x) ( 1 )where x =( x1,x2 ,… .xn) T,xj( j =1 ,2 ,… ,n)indicate geometricparameters and physical parame-ters of the object;b=( b1,b2 ,… ,bm) T,bi( i=1 ,2 ,… ,m) indicate potential- field measurements.Main algorithms for expression( 1 ) are leastsquare method ( include damping least squaremethod ) ,gradient method ( conjugate gradientmethod and variable met…     

关于常微分方程初值问题数值解误差的探讨

引用B样条插值函数讨论了一阶常微分方程初值问题的数值解 ,给出一个隐式近似求解公式 ,并得到此公式的局部截断误差为O(h5) ,整体截断误差为O(h4 ) .在此基础上又给出了一个校正显式求解公式 ,其局部截断误差为O(h4 ) .     

一类Neumann边值问题的多重正解

通过没有(PS)条件的山路引理和对最佳Sobolev常数及能量泛函的分析，得到了一类具有次线性及临界增长组合非线性项的齐次Neumann问题多重正解的存在性。     

具有Neumann边界及临界Sobolev指数的半线性抛物方程

主要运用能量方法及稳定集和不稳定集的观点,研究一类半线性抛物方程的整体解和局部解的存在性及爆破问题.这里Ω是RN(N≥3)上的光滑有界区域,2 是临界Sobolev指数.     

皮革废渣渗漏液中铬的测定

对皮革废渣(蓝皮屑)渗漏液中铬的二苯碳酰二肼分光光度测定法进行了研究，结果表明此方法的线性范围0-0.400mg／L，吸光度A对浓度c(mg／L)关系回归方程为：A=0．779c-0．0005，线性相关系数为0．9993，检出限为0．007mg／L，相对标准偏差小于3％，加标回收率为100％～105％，用此法对废渣渗漏液中铬的测定表明铬的形态为三价铬，因此，测定总铬时需先加H2SO4-HNO3进行消解，再以KMnO4氧化，二苯碳酰二肼显色，分光光度法测定．     

干燥控制化学添加剂在制备硅气凝胶中的应用

以硅溶胶为主要原料,通过硅溶胶体系的凝胶过程中添加干燥控制化学添加剂(DCCA),并结合非超临界干燥技术制备了硅气凝胶,研究了DCCA对凝胶过程和最终所得气凝胶品质的影响。DCCA能使凝胶的生成时间增加,凝胶结构均匀化,构成凝胶的基本微粒的粒径有所减小。在一定的DCCA添加量范围内,随着DCCA添加量的增加,所得气凝胶样品的密度有所减小,比表面积增加,微观结构变得更加完善,孔分布也更加集中。不同DCCA对气凝胶品质的影响规律不尽相同,气凝胶的品质就有可能通过调节添加DCCA的种类和量得到控制。