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Diffusion in Poro-Elastic Media

✍ Scribed by R.E. Showalter

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
207 KB
Volume
251
Category
Article
ISSN
0022-247X

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✦ Synopsis

Existence, uniqueness, and regularity theory is developed for a general initialboundary-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 space, and this leads to a precise description of the dynamics of the system.

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