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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Main Author: Meirmanov, Anvarbek. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2014.
Edition:1st ed. 2014.
Series:Atlantis Studies in Differential Equations, 1
Subjects:
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.