Phase transitions in porous media

被引：0
作者：
Chiara Gavioli
Pavel Krejčí
机构：
[1] TU Wien,Institute of Analysis and Scientific Computing
[2] Czech Technical University,Faculty of Civil Engineering
来源：
Nonlinear Differential Equations and Applications NoDEA | 2022年 / 29卷
关键词：
Porous media; Phase transitions; Hysteresis; 74F10; 76S05; 47J40; 35A01;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The full quasistatic thermomechanical system of PDEs, describing water diffusion with the possibility of freezing and melting in a visco-elasto-plastic porous solid, is studied in detail under the hypothesis that the pressure-saturation hysteresis relation is given in terms of the Preisach hysteresis operator. The resulting system of balance equations for mass, momentum, and energy coupled with the phase dynamics equation is shown to admit a global solution under general assumptions on the data.
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