Mathematical Models for Poroelastic Flows
The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by mean...
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Language: | English |
Published: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2014.
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Edition: | 1st ed. 2014. |
Series: | Atlantis Studies in Differential Equations,
1 |
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Online Access: | https://doi.org/10.2991/978-94-6239-015-7 |
Table of Contents:
- Isothermal Liquid Filtration
- Filtration of a compressible thermo-fluid
- Hydraulic shock in incompressible poroelastic media
- Double porosity models for a liquid filtration
- Filtration in composite incompressible media
- Isothermal acoustics in poroelastic media
- Non-isothermal acoustics in poroelastic media
- Isothermal acoustics in composite media
- Double porosity models for acoustics
- Diffusion and convection in porous media
- The Muskat problem.