Study of Minimum Average Distance between Probability Space and Proper Orthogonal Space of Burgers Equation

Wu Jia-rong

doi:10.3969/j.issn.1007-7162.2012.04.015

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Study of Minimum Average Distance between Probability Space and Proper Orthogonal Space of Burgers Equation

更新时间：2026-05-27

- Study of Minimum Average Distance between Probability Space and Proper Orthogonal Space of Burgers Equation
- Vol. 29, Issue 4, Pages: 72-76(2012)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.1007-7162.2012.04.015
  CLC：
- Online First：25 December 2012，
  
  Published：2012
- 稿件说明：
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吴加荣. 讨论Burgers方程的概率空间与特征正交空间的最小平均距离问题[J]. 广东工业大学学报, 2012, 29(4): 72-76.

Wu Jia-rong. Study of Minimum Average Distance between Probability Space and Proper Orthogonal Space of Burgers Equation[J]. 2012, 29(4): 72-76.
吴加荣. 讨论Burgers方程的概率空间与特征正交空间的最小平均距离问题[J]. 广东工业大学学报, 2012, 29(4): 72-76. DOI： 10.3969/j.issn.1007-7162.2012.04.015.

Wu Jia-rong. Study of Minimum Average Distance between Probability Space and Proper Orthogonal Space of Burgers Equation[J]. 2012, 29(4): 72-76. DOI： 10.3969/j.issn.1007-7162.2012.04.015.

摘要

引入描述Burgers方程物理过程的两个不同函数空间，分别为概率空间和特征正交空间.为了讨论它们的距离关系，建立了概率空间和特征正交空间的最小平均距离问题，并利用模拟退火算法进行求解.进一步利用这个最小距离，获得Burgers方程的一个近似解，而它是由特征正交空间的基线性组合得到的.

Abstract

It introduces two different kinds of function space

probability space and proper orthogonal space

both of which are used to describe the physics motions of Burgers equation. In order to discuss the distance between them

it proposed a problem involving the minimum average distance between probability space and proper orthogonal space. Here

simulated annealing was used to solve this problem. Besides

by applying the minimum average distance

an approximate solution to Burgers equation was attained through the linear combination of basis functions of proper orthogonal space.

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