Diffusion in poro-elastic media

被引：223

作者：

Showalter, RE

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

[2] Univ Texas, Texas Inst Computat & Appl Math, Austin, TX 78712 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 251卷 / 01期

关键词：

pore-elasticity; deformable porous media; thermo-elasticity; Biot consolidation problem; coupled quasi-static; secondary consolidation; degenerate evolution equations; initial-boundary-value problems; existence-uniqueness theory; regularity;

D O I：

10.1006/jmaa.2000.7048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence, uniqueness, and regularity theory is developed for a general initial-boundary-value problem for a system of partial differential equations which describes the Blot consolidation model in pore-elasticity as well as a coupled quasi-static problem in thermoelasticity. Additional effects of secondary consolidation and pore fluid exposure on the boundary are included. This quasi-static system is resolved as an application of the theory of linear degenerate evolution equations in Hilbert space, and this leads to a precise description of the dynamics of the system. (C) 2000 Academic Press.

引用

页码：310 / 340

页数：31

共 43 条

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