Steady-state solutions for the Muskat problem

被引：0
作者：
Sanchez, Omar [1 ]
机构：
[1] Univ Autonoma Madrid, Inst Ciencias Matemat, Madrid, Spain
来源：
COLLECTANEA MATHEMATICA | 2023年 / 74卷 / 02期
基金：
欧洲研究理事会;
关键词：
Muskat problem; Fingering patterns; Steady state solutions; Periodic solution; POROUS-MEDIA; HELE-SHAW; INTERFACE EVOLUTION; POSEDNESS; EXISTENCE; FLOWS;
D O I：
10.1007/s13348-021-00348-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence of stationary solutions for the Muskat problem with a large surface tension coefficient. Ehrnstrom, Escher and Matioc studied in Mats Ehrnstrom (Methods Appl Anal 20:33-46, 2013) that there exists solutions to this problem for surface tensions below a finite value. In these notes we go beyond this value considering large surface tension. Also by numerical simulation we show some examples that explains the behavior of solutions.
引用
收藏
页码：313 / 321
页数：9
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