عنوان
پدید آورنده
موضوع
رده
QA20 .A583 2014
QA20
.
A583
2014
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9462390150
(Number (ISBN
9789462390157
NATIONAL BIBLIOGRAPHY NUMBER
Number
b596977
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Mathematical models for poroelastic flows
General Material Designation
[Book]
First Statement of Responsibility
Anvarbek Meirmanov.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Paris
Name of Publisher, Distributor, etc.
Atlantis Press
Date of Publication, Distribution, etc.
2014
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(477 pages) : illustrations
SERIES
Series Title
Atlantis studies in differential equations, 1.
CONTENTS NOTE
Text of Note
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 Liquid Filtration --; 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.
SUMMARY OR ABSTRACT
Text of Note
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 means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations still hold at this scale of the pore size in the order of 5 - 15 microns. Thus, as we have mentioned above, the macroscopic mathematical model.
TOPICAL NAME USED AS SUBJECT
Differential equations, Partial.
Mathematical physics.
Mathematics.
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA20
Book number
.
A583
2014
PERSONAL NAME - PRIMARY RESPONSIBILITY
Anvarbek Meirmanov.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
A M Meĭrmanov
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
