Degenerate diffusion with Preisach hysteresis

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-03-30 DOI:10.3934/dcdss.2023154

Chiara Gavioli, Pavel Krejvc'i

引用次数: 0

Abstract

Fluid diffusion in unsaturated porous media manifests strong hysteresis effects due to surface tension on the liquid-gas interface. We describe hysteresis in the pressure-saturation relation by means of the Preisach operator, which makes the resulting evolutionary PDE strongly degenerate. We prove the existence and uniqueness of a strong global solution in arbitrary space dimension using a special weak convexity concept.

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具有Preisach滞后的退化扩散

流体在非饱和多孔介质中的扩散由于液气界面的表面张力而表现出很强的滞后效应。我们用Preisach算子描述了压力-饱和关系中的滞回，使得得到的演化偏微分方程强简并。利用一个特殊的弱凸性概念证明了任意空间维强全局解的存在唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete and Continuous Dynamical Systems-Series S MATHEMATICS, APPLIED-

CiteScore

3.70

自引率

5.60%

发文量

177

期刊介绍： Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.