| 黄启正,李林,欧阳自根.胀缩渗透圆形管道内多解的构造[J].南华大学学报(自然科学版),2019,33(2):70~74.[HUANG Qizheng,LI Lin,OUYANG Zigen.The Construction of Multiple Solutions Arising from a Porous Pipe with Expanding or Contracting Wall[J].Journal of University of South China(Science and Technology),2019,33(2):70~74.] |
| 胀缩渗透圆形管道内多解的构造 |
| The Construction of Multiple Solutions Arising from a Porous Pipe with Expanding or Contracting Wall |
| 投稿时间：2018-11-11 |
| DOI： |
| 中文关键词: 胀缩渗透 多解 渐近解 |
| 英文关键词:expanding or contracting and porous multiple solutions asymptotic solutions |
| 基金项目: |
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| 摘要点击次数: 697 |
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| 中文摘要: |
| 多解存在于胀缩渗透圆形管道内的流体流动问题中。基于奇异摄动方法,给出了关于多解的渐近解。数值解与渐近解进行了比较,结果表明数值解与渐近解吻合的很好,说明所构造的渐近解是可靠且有效的。这样不仅可以利用此渐近解去拓展基于血液流的胀缩渗透圆形管道内的研究,而且也丰富了对多解的认识,有助于掌握血液在血管内的流动规律,对治疗心脑血管等病具有重要的借鉴意义。 |
| 英文摘要: |
| Multiple solutions exist in laminar flow arising from a porous pipe with expanding or contracting wall.Based on a singular perturbation method,asymptotic solutions are obtained.Asymptotic solutions agree well with numerical solutions,indicating that the asymptotic solutions are efficient.It not only provides how to construct multiple solutions,but also illustrates the corresponding mechanism,which is helpful to understand the current problems. |
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