当前位置: X-MOL 学术Z. Angew. Math. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On unsteady flows of pore pressure-activated granular materials
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2020-11-28 , DOI: 10.1007/s00033-020-01424-3
Anna Abbatiello , Miroslav Bulíček , Tomáš Los , Josef Málek , Ondřej Souček

We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in water-saturated granular materials. The unconsolidated solid matrix behaves as an ideal plastic material before the activation takes place and then it starts to flow as a Newtonian or a generalized Newtonian fluid. The plastic yield stress is non-constant and depends on the difference between the given lithostatic pressure and the pressure of the fluid in a pore space. We study unsteady three-dimensional flows in an impermeable container, subject to stick-slip boundary conditions. Under realistic assumptions on the data, we establish long-time and large-data existence theory.



中文翻译:

孔隙压力活化颗粒材料的非稳态流动

我们研究了非线性偏微分方程组的数学特性,这些方程组描述了在某些简化假设下水饱和粒状材料中的演化过程。在活化发生之前,未固结的固体基质表现为理想的塑料材料,然后开始以牛顿流体或广义牛顿流体的形式流动。塑性屈服应力不是恒定的,并且取决于给定的岩石静压力与孔隙空间中流体压力之间的差。我们研究在不透水容器中的不稳定三维流动,该流动受粘滑边界条件的影响。在对数据的现实假设下,我们建立了长期的大数据存在理论。

更新日期:2020-12-01
down
wechat
bug