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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