Mathematical Models for Poroelastic Flows (Record no. 94156)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03186nam a22004815i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-94-6239-015-7 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220082533.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 131128s2014 fr | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789462390157 |
| -- | 978-94-6239-015-7 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.2991/978-94-6239-015-7 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA370-380 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKJ |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT007000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.353 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Meirmanov, Anvarbek. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Mathematical Models for Poroelastic Flows |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Anvarbek Meirmanov. |
| 264 #1 - | |
| -- | Paris : |
| -- | Atlantis Press : |
| -- | Imprint: Atlantis Press, |
| -- | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XXXVIII, 449 p. 25 illus., 3 illus. in color. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Atlantis Studies in Differential Equations, |
| International Standard Serial Number | 2214-6253 ; |
| Volume number/sequential designation | 1 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents 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 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 models obtained are still within the limits of physical applicability. These mathematical models describe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, partial. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mechanics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Partial Differential Equations. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Methods in Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mechanics. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9789462390140 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Atlantis Studies in Differential Equations, |
| -- | 2214-6253 ; |
| Volume number/sequential designation | 1 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.2991/978-94-6239-015-7 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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