Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 251, Issue 1, Pages 310-340Publisher
ACADEMIC PRESS INC
DOI: 10.1006/jmaa.2000.7048
Keywords
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
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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.
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