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...

Full description

Bibliographic Details
Main Author: Meirmanov, Anvarbek
Format: eBook
Language:English
Published: Paris Atlantis Press 2014, 2014
Edition:1st ed. 2014
Series:Atlantis Studies in Differential Equations
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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