Abstract
A modification of the material law associated with the well-known Biot system as suggested by Murad and Cushman (Int. J. Eng. Sci. 1996; 34(3):313-338) and first investigated by Showalter (J. Math. Anal. Appl. 2000; 251(1):310-340) is reconsidered, generalized and analysed in the light of a new approach to a comprehensive class of evolutionary problems. The framework allows a uniform approach to problems involving general anisotropic, inhomogeneous, non-smooth media thus covering, for example, transmission problems in layered materials.
| Original language | English |
|---|---|
| Pages (from-to) | 313-322 |
| Number of pages | 10 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 33 |
| Issue number | 3 |
| Early online date | 16 Jun 2009 |
| DOIs | |
| Publication status | Published - Feb 2010 |
Keywords
- Biot system
- poro-elasticity
- material laws
- initial value problems for linear first-order PDE
- linear evolution equations
- flows in porous media
- foundations
- constitutive equations
- rheology