关于混凝土坝基渗流系统最优控制计算的乘子方法

研究了乘子方法应用于混凝土坝基渗流系统最优控制的计算,构造了其逼近程序,并证明了这种方法在适当的Ｈｉｌｂｅｒｔ空间中的收敛性。     

含两参数的抛物型方程混合问题的差分解法

研究含２个小参数的抛物型方程的奇异摄动问题,构造了指数拟合差分格式并证明了差分格式的解一阶一致收敛于微分方程的解,提高了一致收敛的精度．     

Dissection of the pheromone-modulated flight of moths using single-pulse response as a template

The upwind flight of male moths to conspecific females is mediated by the chemical and structural characteristics of a pheromone plume. We describe the reaction of maleCadra cautella, the almond moth, to the interception of single pulses of sex pheromone, the smallest structural units of odour plumes. Following loss of a pheromone plume, males cast, that is fly a crosswind course without progressing upwind. The response of casting males to interception of a pulse of 0.25 s duration was, after a delay of 0.21±0.07 s, to turn and briefly fly straighter upwind, resulting in average net upwind displacements of 18 cm in a 50 cm s^–1 wind. Upwind progress in the single-pulse response was the result of steering more upwind and an increase in airspeed, although average ground speed remained unchanged. During the last third of the surge, males turned crosswind, returning to casting flight. These behavioural reactions to pheromone contact and loss support the phasic-tonic model of odour-modulated flight, in which an underlying tonic counterturning rhythm, expressed upon pheromone loss, is briefly overridden by phasic upwind surges, expressed upon interception of the pheromone filament. The surge portion of the cast-surge-cast response was diminished and more crosswind if individual pulses were shorter (0.02 s), probably due to sub-optimal contact with pheromone. The cast-surge-cast response to interception of a single 0.25 s pulse was used as a template to interpret the form of flight tracks in plumes of known structure. The template matched portions of flight tracks of males flying in plumes of low pheromone pulse frequency, thus reflecting the male's pattern of pulse encounter. In plumes ensuring a high frequency of pulse interception, only the upwind surge portion of the template was expressed, resulting in nearly straight upwind flight tracks. Similar nearly straight upwind flight tracks occurred in flights along plumes of low pulse frequency with large volume. Thus flight tracks of maleC. cautella to point sources of pheromone depend on both the frequency and the size of filaments encountered.     

OSC-PLS算法在近红外光谱定量分析中应用的研究

提出一种新的光谱预处理方法--正交信号校正,并将正交信号校正与偏最小二乘法相结合的OSC-PLS方法应用于固体含能材料中挥发份的定量分析.利用正交信号校正,对光谱数据进行预处理,剔除光谱矩阵中所含的各种噪声信号,将去噪后的光谱矩阵作为新的自变量矩阵,再利用偏最小二乘方法建立校正模型.结果表明:用OSC-PLS方法建立模型与用传统偏最小二乘法所建模型相比精度明显提高,这对近红外光谱分析在该领域的应用具有重要的理论意义和实际推广价值.     

氢分压对种间氢转移的影响

在厌氧消化的产氢产乙酸阶段,从反应动力学来看,在标准生理状态下的ΔG°′均为正值,表明丙酸丁酸以及乙醇的产氢产乙酸是不能进行的。然而,在产甲烷的作用下,通过产氢产乙酸菌和产甲烷菌间的种间氢转移,体系中的氢分压大为降低,使整个消化过程得以顺利进行。文章以产氢产乙酸作用和产甲烷作用的热力学反应为基础,分别导出它们的自由能与氢分压的关系,分析了氢分压对种间氢转移的影响,得出两类菌群间种间氢转移的理论氢分压范围。进而引入细胞代谢最小能量子概念,对理论氢分压进行修正,得出沼气发酵适宜的理论氢分压范围和最佳氢分压。     

高阶非线性中立型时滞偏微分方程系统解的强迫振动性

研究具有连续分布偏差变元的高阶非线性中立型偏微分方程系统，获得了系统解振动的若干充分条件。     

一类高阶非线性中立型时滞偏微分方程解的振动性

研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。     

具有凝固平直界面的温度场的扰动分析

考虑具有凝固平直界面的二维非稳态晶体生长过程,由于凝固过程中溶质原子的吸附作用,电磁搅拌等诸多因素的干扰,在固液平直界面会产生扰动,从而影响界面的形态。本文研究凝固过程中具有固液平直界面的温度场扰动分析,用多重尺度法求出一阶渐近解,指出在扰动条件下,温度变化沿晶体生长方向呈指数衰减,提出扰动条件下固液平直界面晶体生长的稳定性条件。这为晶体生长的理论研究及实验工作提供了理论依据。     

煤灰熔融温度多项式模型的偏回归函数分析

为了考察煤灰中的化学组分对熔融特性温度的贡献，借助我国69种重要的商业用煤的灰熔融特性温度和灰中SiO2和Al2O3等6种主要化学组分的测试数据，利用多项式模型的偏回归函数分析方法，对煤灰的熔融特性温度进行一至四阶多项式模型回归分析，获得了各化学组分的偏回归函数。研究结果表明：各化学组分的偏回归函数能够表现熔融温度对应于该组分变化的趋势；同一组分偏回归函数不同，该组分对变形温度、软化温度和熔融温度的影响存在较大的差异；CaO和TiO2的偏回归函数反映熔融温度变化趋势的可信度最高。实验为进一步研究煤灰熔融特性温度的数学模型和参数选择提供参考。     

一类非单调二元算子方程的迭代解法

利用锥和半序理论，研究Banach空间一类不具有单调性的算子方程A（x,x）=x，其中A可表示A=A1＋A2,A1是混合单调的，A2是反向混合单调的，并得到了可解性定理．