Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 499, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2020.124907
Keywords
Thermo-poroelasticity; Variational formulation; Existence; Uniqueness
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Funding
- Agencia Nacional de Promocion Cientifica y Tecnologica through Fondo para la Investigacion Cientifica y Tecnologica (FonCyT) [PICT 1909/2015]
- Jiangsu Innovation and Entrepreneurship Plan
- Jiangsu Province Science Fund for Distinguished Young Scholars [BK20200021]
- National Natural Science Foundation of China [41974123]
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The study demonstrates the existence of a unique solution for wave propagation in linear thermo-poroelastic isotropic media, showing regularity in both space and time variables.
We present results on the existence and uniqueness of a new formulation of wave propagation in linear thermo-poroelastic isotropic media in bounded domains under appropriate boundary and initial conditions. The linear theory of thermo-poroelasticity describes wave propagation in fluid-saturated poroelastic media including the temperature. In the model analyzed here, the constitutive equations in Biot's theory are modified by introducing coupling temperature terms, while the heat equation is generalized by including the coupling with the elastodynamic field and relaxation terms, the latter to model finite velocities. This analysis shows the existence of a unique solution, given in terms of displacements of the solid and fluid phases and temperature, and proves its regularity in the space and time variables. (C) 2020 Published by Elsevier Inc.
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