Stochastic elliptic-parabolic system arising in porous media

被引：0

作者：

Bessaih, Hakima ^{[1
]}

Cohn, Cynthia ^{[2
]}

Landoulsi, Oussama ^{[1
]}

机构：

[1] Florida Int Univ, Math & Stat, 11200 SW 8th St, Miami, FL 33199 USA

[2] Univ Wyoming, Math & Stat, Univ Ave, Laramie, WY 82071 USA

来源：

STOCHASTICS AND DYNAMICS | 2022年 / 22卷 / 03期

关键词：

Porous medium; flow and transport; elliptic-parabolic system; noise; stochastic processes; MISCIBLE FLUID-FLOWS; DISPLACEMENT;

D O I：

10.1142/S0219493722400226

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove the existence of a pathwise weak solution to the single-phase, miscible displacement of one incompressible fluid by another in a porous medium with random forcing. Our system is described by a parabolic concentration equation driven by an additive noise coupled with an elliptic pressure equation. We use a pathwise argument combined with Schauder's fixed point theorem.

引用

页数：19

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