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.
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页数：19
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