一类线性Burgers方程反问题的正则化方法  

Regularization Method for an Inverse Problem of Linear Burgers Equation

作　　者：王泽文[1] 

机构地区：[1]东南大学数学系

出　　处：《江西科学》2008年第2期175-178,311,共5页Jiangxi Science

基　　金：国家自然科学基金资助(10561001);江西省自然科学基金项目(0511005);东华理工大学核资源与环境教育部重点实验室(070713)

摘　　要：考虑一类确定边界流场及边界流场密度的线性Burgers方程反问题。该问题是一个严重不适定问题,即测量数据的微小变化将引起解的急剧变化。利用磨光方法消除高频部分的影响,研究了反问题的条件稳定性,获得了反问题的正则化解及其误差估计。Consider at inverse problem of linear Burgers equation which boundary flow field and density need to be identified. This is a severely ill - posed problem in the sense that any small change on the input data can result in a dramatically change to the solution. By the mollification method, high - frequency components can be filtered away. The condition stability is discussed. The regularization solution and the error are also obtained.

关 键 词：BURGERS方程 热传导反问题 磨光方法 条件稳定性 误差估计 

分 类 号：O175[理学—数学]