SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 1191-1213, January 2021.
A PDE system consisting of the mechanical equilibrium and mass balance equations for displacement and capillary pressure as a model for fluid diffusion in a partially saturated viscoelastoplastic porous solid with a nonlinear solid-liquid interaction and a degenerate pressure-saturation function is shown to admit a solution under appropriate assumptions on the constitutive behavior. If the diffusion coefficient is constant, then the solution is unique and depends continuously on the data.

中文翻译：

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具有非线性相互作用的粘弹塑性多孔介质问题

SIAM数学分析杂志，第53卷，第1期，第1191-1213页，2021年1月，
PDE系统由位移和毛细压力的机械平衡和质量平衡方程组成，作为部分饱和粘弹塑性多孔固体中流体扩散的模型具有非线性固-液相互作用和简并的压力-饱和度函数的模型被证明在适当的本构行为假设下可以求解。如果扩散系数恒定，则解是唯一的，并且连续取决于数据。