一类p-Laplacian方程非平凡解的存在性

用山路引理得到了一类带有Dirichlet边值条件的p-Laplacian方程的非平凡解的存在性及多解性.     

火烧迹地落叶松八齿小蠹种群扩散蔓延规律

1987年大兴安岭发生特大森林火灾,为落叶松八齿小蠹猖獗发生提供了优良的环境条件.经过1988、1989两年的研究,发现落叶松八齿小蠹种群扩散已从重度火烧林转向中、轻度火烧林,每年扩散危害的距离在10m左右;提出扩散蔓延的数学模型为Y=0.67+1.66X,落叶松八齿小蠹扩散蔓延程度与虫源基地中其种群密度和被扩散林分的生理状况有关.其相关数学模型为Y=2.70X+0.25X_2-1.76,落叶松八齿小蠹种群在火烧迹地上扩散属于聚集型扩散.     

平面弹性接触问题的光弹性-数值组合解法

利用光弹性 -数值组合解法对平面弹性接触问题进行了研究 .利用边界积分方程 ,结合接触状态 ,形成接触问题的系统方程 .采用增量迭代的方法 ,通过计算程序求得数值解 .由光弹性实验得出实验解 ,并将此解与数值解进行比较 ,结果相近     

1973-2000年黄河流域棉花品种改良与应用状况分析

利用1973-2000年国家黄河流域棉花区域试验资料及同期该棉区棉花品种推广的统计数据,总结了棉花品种改良的主要成绩,分析了棉花品种不同性状的育种效率.结果表明产量性状的遗传改良效率逐年下降,早熟性、抗逆性和部分纤维品质指标的改良效率有所提高.探索性提出了提高育种效率的途径和方法.分析了棉花良种普及率及自育品种变化情况,针对目前美国转基因棉花在该区生产中优势,加强国产品种的推广已成当务之急.     

SOME PROBLEMS BY USE OF BOUNDARY POINT ELEMENT IN BOUNDARY ELEMENT METHOD

Using boundary point element is one of the treatmentsof corner node problem.This paper further discusses some problems byuse of point element.They mainly include the calculation of stresses atpoint elements,the cause and treatment of singularity in boundary usingequations when point elements are used.An example is given.Correctlyboundary point element has certain practical significance for moreobjective simulation of the actual situation of quantities and improvesaccuracy of results.     

Boundary Element Methods with Overlapping Domain Decomposition for Parabolic Problem

Boundary element method is a numerical method for solving partial differential equations. There are several formulations of boundary element method (BEM) applied to solve a parabolic differential equation.The approach,which employs time- dependent fundamental solution,allows longer time steps in time integration than other approaches,and this can cut down on time for computer implementation with high precision.Domain decomposition method,which decompose the domain that a given problem is to be solved into subdomains,has the advantages of reducing the large problem into smaller ones and reducing the complex problem into simpler ones,and allows parallel computing.An overlapping domain decomposition method is applied combining a boundary element formulation with time-dependent fundamental solution to solve a diffusion equation. Firstly, by domain decomposition, the problem divided into two problems on subdomains, and then the initial-Boundary problems are solved by boundry element method on each subdomain.Some numerical examples are presented to illustrate feasibility and efficiency of the method. The numerical experiments show that the convergence rate of the method is dependent with the overlapping degree of the subdomains.     

Mix Domain Decomposition Method with Boundary Element Method For Stokes Equations and Application

As the BEM was used in the knaggy domain,its approach error was big.Domain Decomposition Method change the problem in the knaggy domain to the problem in several convex domains which do not wrap.The whole solution is gained by alternating boundary conditions between Dirichlet condition and Neumann condition on the common boundary.Domain Decomposition Method for Stokes equations in the anomalistic knaggy domain is presented,the example of Domain Decomposition Method in the flow of the lake in GuiYang City is given.     

温室作物叶-气系统水流阻力研究初探

温室作物叶-气系统水流阻力的确定对计算作物蒸腾量、制定温室作物灌溉制度以及调控温室小气候具有重要意义,但测量难度较大。该文通过对温室作物周围环境微气象条件的连续观测，计算分析了温室作物叶-气系统水流阻力各分项即叶片周围层流副层边界层阻力(r_b)、冠层上方湍流边界层阻力(r_g)、空气动力学阻力(r_e)和叶片气孔阻力(r_i)的变化规律。结果表明：温室内r_b比较稳定，平均约235 s/m，且与环境因素关系不甚密切；温室内黄瓜、西红柿类植物生殖生长期r_g<b，在计算r_e时，r_g的影响可忽略，取r_e≈r_b；利用基于能量平衡方程和空气动力学方程得出的叶-气温差计算公式计算得到r_i，符合其变化的一般规律；在此基础上计算了温室黄瓜的蒸腾速率，与实测值的一致性较好。     

Boundary Element Method for Time-dependent Chloride Diffusion and the Chloride Distribution in Concrete

The process of chloride diffusion in concrete is time-dependent.The boundary element method (BEM) with a time-dependent diffusion coefficient is presented for chloride diffusion in concrete based on the suitable transformation of variables.The fundamental solution of the partial differential equation for time-dependent chloride diffusion in concrete is developed,and the compensation length of the diffusion field is defined as well as the compensation coefficient.The scheme of BEM with a time-dependent diffusion coefficient is developed.Two examples are given to demonstrate the accuracy and efficiency of the presented method and the rationality and the importance of the compensation length for the method.