# Diffusion in Poro-Elastic Media

@article{Showalter2000DiffusionIP,
title={Diffusion in Poro-Elastic Media},
author={R. E. Showalter},
journal={Journal of Mathematical Analysis and Applications},
year={2000},
volume={251},
pages={310-340}
}
• R. Showalter
• Published 1 November 2000
• Mathematics
• Journal of Mathematical Analysis and Applications
Existence, uniqueness, and regularity theory is developed for a general initial-boundary-value problem for a system of partial differential equations which describes the Biot consolidation model in poro-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…
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