中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50203-050203.doi: 10.1088/1674-1056/21/5/050203

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Solving a class of burning disturbed problem with shock layers

欧阳成1,陈丽华2,莫嘉琪3   

  1. 1. Faculty of Science, Huzhou Teacher College, Huzhou 313000, China;
    2. Department of Mathematics and Computer Science, Fuqing Branch ofFujian Normal University, Fuqing 350300, China;
    3. Department of Mathematics, Anhui Normal University, Wuhu 241003, China
  • 收稿日期:2011-10-16 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11071205), the Natural Science Foundation of the Education Bureau of Anhui Province, China (Grant No. KJ2011A135), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110502), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011042), and the Foundation of the Education Department of Fujian Province, China (Grant No. JA10288).

Solving a class of burning disturbed problem with shock layers

Ouyang Cheng(欧阳成)a)†, Chen Li-Hua(陈丽华)b), and Mo Jia-Qi(莫嘉琪)c)   

  1. a. Faculty of Science, Huzhou Teacher College, Huzhou 313000, China;
    b. Department of Mathematics and Computer Science, Fuqing Branch ofFujian Normal University, Fuqing 350300, China;
    c. Department of Mathematics, Anhui Normal University, Wuhu 241003, China
  • Received:2011-10-16 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11071205), the Natural Science Foundation of the Education Bureau of Anhui Province, China (Grant No. KJ2011A135), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110502), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011042), and the Foundation of the Education Department of Fujian Province, China (Grant No. JA10288).

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摘要： A class of combustion problem with shock layers is considered. A modified perturbation method is presented. Using this simple and valid technique, we construct the boundary and the shock layers solution to the problem, and the asymptotic behavior of the solution is discussed. The modifying perturbation method is shown to be a valid method.

关键词: singular perturbation, burning problem, asymptotic solution

Abstract: A class of combustion problem with shock layers is considered. A modified perturbation method is presented. Using this simple and valid technique, we construct the boundary and the shock layers solution to the problem, and the asymptotic behavior of the solution is discussed. The modifying perturbation method is shown to be a valid method.

Key words: singular perturbation, burning problem, asymptotic solution

中图分类号:  (Ordinary differential equations)

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