西南石油大学学报(自然科学版) ›› 1992, Vol. 14 ›› Issue (3): 111-117.DOI: 10.3863/j.issn.1000-2634.1992.03.016

• 数学 • 上一篇    下一篇

两个拟线性偏微分方程的定解问题的解析解

吴小庆 黄森楠
  

  1. (基础学部科)
  • 收稿日期:1996-01-06 修回日期:1900-01-01 出版日期:1992-08-20 发布日期:1992-08-20
  • 通讯作者: 吴小庆

ANALYTICAL SOLUTION OF TWO MODELS OF QUASILINEAR .SYSTEMOF PARTIAL DIFFERENTIAL EQUATIONS

Wu Xiao-qing Huang Sen-nan
  

  1. (Department of Basic Courses)
  • Received:1996-01-06 Revised:1900-01-01 Online:1992-08-20 Published:1992-08-20
  • Contact: Wu Xiao-qing

摘要: 在酸化砂岩油层的理论研究中,出现了直线流模型与径向流模型,这两个模型皆是用一阶拟线性偏微分方程组的定解问题来刻划的。本文给出了这两个拟线性偏微分方程组的定解问题的一个求解方法及解析解表达式。

关键词: 线性方程 偏微分方程 解析解

Abstract: In theoretical study of acidization of sandstone rocks,Lund and Fogley
developed two models, which are marked by the quasilinear system of
partial differential equations.This paper gives out the analytical solution
for the quasilinear system of partial differential equations,

Key words: Quasilinear equation Partial differential equati

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