TWO-PHASE TWO-COMPONENT FLOW IN POROUS MEDIA IN LOW SOLUBILITY REGIME

被引：5

作者：

Jurak, Mladen ^{[1
]}

Radisic, Ivana ^{[2
]}

Keko, Ana Zgaljic ^{[3
]}

机构：

[1] Univ Zagreb, Fac Sci, Dept Math, Zagreb 10000, Croatia

[2] Univ Zagreb, Fac Mech Engn & Naval Architecture, Dept Math, Zagreb 10002, Croatia

[3] Univ Zagreb, Fac Elect Engn & Comp, Dept Appl Math, Zagreb 10002, Croatia

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 03期

关键词：

nonlinear parabolic system; two-phase flow; compositional flow; porous media; gas migration; DEGENERATE PARABOLIC-SYSTEM; GAS MIGRATION; EXISTENCE RESULT; REGULARITY;

D O I：

10.1137/18M1182206

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a system of equations governing liquid and gas flow in porous media. The gas phase is homogeneous, while the liquid phase is composed of a liquid component and a dissolved gas component. It is assumed that the gas component is weakly soluble in the liquid. We formulate a weak solution of the initial boundary value problem and prove the existence theorem by passing to the limit in regularizations of the problem. The hypothesis of low solubility is given precise mathematical meaning.

引用

页码：2019 / 2052

页数：34

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