数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (6): 2159-2168.doi: 10.1016/S0252-9602(11)60391-3

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TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA

应隆安   

  1. Key Laboratory of Pure and Applied Mathematics, CCSE School of Mathematical Sciences, Peking University, Beijing 100871, China
  • 收稿日期:2011-06-24 出版日期:2011-11-20 发布日期:2011-11-20
  • 基金资助:

    This work was supported by the China State Major Key Project for Basic Researches.

TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA

Ying Lung-an   

  1. Key Laboratory of Pure and Applied Mathematics, CCSE School of Mathematical Sciences, Peking University, Beijing 100871, China
  • Received:2011-06-24 Online:2011-11-20 Published:2011-11-20
  • Supported by:

    This work was supported by the China State Major Key Project for Basic Researches.

摘要:

We study the mathematical model of two phase compressible flows through porous media. Under the condition that the compressibility of rock, oil, and water is small, we prove that the initial-boundary value problem of the nonlinear system of equations admits a weak solution.

关键词: porous media, two phase compressible flows, initial-boundary value problem

Abstract:

We study the mathematical model of two phase compressible flows through porous media. Under the condition that the compressibility of rock, oil, and water is small, we prove that the initial-boundary value problem of the nonlinear system of equations admits a weak solution.

Key words: porous media, two phase compressible flows, initial-boundary value problem

中图分类号: 

  • 76S05