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Steady-state solutions for the Muskat problem. 马斯喀特问题的稳态解。
Pub Date : 2023-01-01 DOI: 10.1007/s13348-021-00348-z
Omar Sánchez

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 Ehrnström (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.

本文研究了具有大表面张力系数的Muskat问题的平稳解的存在性。Ehrnstrom, Escher和Matioc在Mats Ehrnström (Methods Appl Anal 20:33-46, 2013)中研究,对于低于有限值的表面张力,存在解决此问题的方法。在这些笔记中,考虑到大的表面张力,我们超过了这个值。我们还通过数值模拟给出了一些解释解的行为的例子。
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Collectanea mathematica (Barcelona, Spain)
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