太赫兹光谱技术用于干旱胁迫下大豆冠层含水量检测研究

近年来水资源短缺问题日益严重,部分地区由于农业灌溉用水不足导致庄稼减产农民利益受损。大豆是一种需水量较大的农作物,一旦水分亏缺将直接影响大豆植株的形态和生长发育,从而造成大豆品质降低和产量减少。大豆叶片的水分状况可真实地反映植株水分受土壤水分亏缺的影响程度,因此,大豆冠层叶片水分含量的快速获取成为一种需要。太赫兹辐射在水中的强烈衰减使其成为一种非常灵敏的非接触式探针,可以快速、无损地检测叶片含水量。因此基于太赫兹光谱这一新技术进行大豆冠层叶片含水量的检测研究,用于实时监测田间大豆的健康状况。实验选用中黄13号大豆进行栽培,为尽可能模拟田间不同程度的干旱胁迫状况,将开花期大豆进行5个不同梯度：正常供水、轻度干旱胁迫、中度干旱胁迫、重度干旱胁迫、严重干旱胁迫(分别占田间最大持水量的80%,65%,50%,35%,20%)的水分灌溉,每个梯度设置3个重复。利用人工称重法与便携式土壤水分速测仪结合将土壤含水量调控到各水分梯度要求。然后,将实验大豆植株运回实验室并利用透射式太赫兹时域光谱仪进行样本扫描,每个梯度采集18片冠层叶片,共90个样本,以2∶1的比例分为校正集和预测集。在获取各样本时域光谱数据后,根据Dorney和Duvillaret提出的模型进行了光学参数的提取,得到各样本的吸收系数谱以及折射率谱。定性分析了太赫兹时域光谱、吸收系数、折射率随水分胁迫程度不同的变化情况。实验发现：随着水分胁迫程度的降低,时域光谱的峰值呈不断衰减趋势,且均低于空白参考峰值,同时有明显的时间延迟。吸收系数值随干旱胁迫程度的加剧逐渐降低;折射率值同样随干旱胁迫程度的加剧逐渐降低。并利用偏最小二乘(PLS)和多元线性回归(MLR)方法定量研究了时域光谱、吸收系数、折射率光谱数据与叶片含水率的相关关系。结果表明,太赫兹波对大豆叶片水分差异十分敏感,基于时域光谱最大值和最小值的MLR预测精度最高,预测集相关性(r_p)达-0.939 3,均方根误差(RMSEP)为0.049 5。研究表明太赫兹光谱技术应用于大豆冠层叶片含水量观测具有良好的可行性,为开展大豆冠层含水量信息快速获取,实现科学节水管理与灌溉决策提供了新的检测手段和实验依据。     

Analysis of Natural Convection During Solidification of a Pure Metal

A numerical study of solidification of gallium in a closed cavity is presented and the influence of natural convection on phase change is investigated.

The mathematical formulation is based on the enthalpy-porosity method, while the equations are discretized on a fixed grid by means of a finite volume technique. Advancing in time is obtained using the SIMPLE algorithm, while the solution of the elliptic equation for pressure correction is obtained by means of a preconditioned BI-CGStab method.

As a test case a square cavity with Ra ranging from 4.68 × 10³ to 9.36 × 10⁵ is adopted. Results will be presented in terms of streamlines, isotherms, solid-liquid interface position and Nu and compared, when possible with available data.     

Banach空间中全纯映射的若干性质

本文将全纯映射的若干性质推广到Ｂａｎａｃｈ空间，并应用这些性质研究有界域中的凸映射与星形映射．     

外区域上半线性波动方程解的整体存在性

该文研究带耗散项的线性和半线性波动方程外问题. 首先利用一个Sobolev型不等式得到了线性耗散波动方程在外区域上的整体能量衰减估计, 此结果用来证明非线性项为|u|^p (2+) 的半线性波动方程解的整体存在性. 为此, 该文主要研究N维(3≤ N≤7)外区域上球对称解的情形.     

Riemann 映射与单连通区域分类

设G为复平面上一个单连通区域及φ为G的Riemann 映射. 本文通过φ是否属于G上多项式在不同拓扑下的闭包的情况对G进行分类. 特别地, 我们对已知的几类单连通给出了刻画.     

Krull property of generalized power series rings

Let D be an integral domain and let $(S,\le )$ be a torsion-free, ≤-cancellative, subtotally ordered monoid. We show that the generalized power series ring $?D^{S,\le }?$ is a Krull domain if and only if D is a Krull domain and S is a Krull monoid.     

Free boundary problem for a fully nonlinear and degenerate parabolic equation in an angular domain

This paper concerns with the problem of how to running an insurance company to maximize his total discounted expected dividends. In our model, the dividend rate is limited in $[0,M]$ and the company is allowed to transfer any proportion of risk by reinsuring. So there are two strategies which we call dividend strategy and reinsurance strategy. The objective function and the corresponding optimal two strategies are the solution and the two free boundaries of the following Barenblatt parabolic equation

$v_t?\underset{0\le a\le 1}{\max }?(\frac{1}{2}{a}^2{\sigma }^2{v}_{xx}+a\mu v_x)+cv?\underset{0\le l\le M}{\max }?[(1?v_x)l]=0$

under certain boundary conditions on an angular domain

$Q_T=\{(x,t)|0<x<Mt,0<t\le T\}.$

The main effort is to analyze the properties of the solution and the free boundaries to show the optimal decision for the insurance company.