摘要
在空气污染模拟与控制的研究中．确定空气运动变化的模型是基础性工作。由于污染物漂浮。移动速度较慢．扩散的影响不可忽略；因此，为了准确地预报空气质量，有效地研究空气基本方程的扩散系数十分重要。本研究首先将方程化为标准形，利用Fourier方法将问题的解按特征函数展开，并利用Laplace－stieltjes变换和等人应用的方法．构造出标准方程的低次项系数，从而解决扩散系数的存在性．然后利用Dirichlet级数的唯一性、证明被识别的扩散系数的唯一性。
In the research of both imitation and control of air pollution- the model of determining variable airmotion is basic. As the speed of floating pollutant is slow. the affection of diffusion shouldn' t beneglect. To forecast air quality accurately- researching diffusion coeffcient of elementary air equationeffectively is very important. First, the author turns equation into standard form* use Fourier method tomake the solution of question expand by eigenfunction- use Laplace-stieltjes transformation and themethod used by to construct lower term coeffcient of standard equation, thereby solve theexistence of diffusion coemcient; secondly, by using the uniqueness of Dirichlet series, the author provesthe uniqueness of diffusion coeffcient discrimination.
出处
《东北林业大学学报》
CAS
CSCD
北大核心
1999年第6期61-67,共7页
Journal of Northeast Forestry University
基金
黑龙江省自然科学基金
关键词
污染物扩散系数
可辩识性
特征值
空气污染
Pollutant diffusion coefficient
Eigenvalue
Fourier method, Laplace-stieltjes transformation
Volterra integral equation
Fredholm integral equation
