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Mathematical Models for Poroelastic Flows

Mathematical Models for Poroelastic Flows (Hardback, 2014 ed.)

By Meirmanov, Anvarbek

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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 micro...scopic 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.
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ISBN 9789462390140
Released NZ 16 Dec 2013
Publisher Atlantis Press
Format Hardback, 2014 ed.
Series Atlantis Studies in Differential Equations (part: 1)
In stock at supplier; delivery usually 20-30 working days due to covid19 delays

Full details for this title

ISBN-13 9789462390140
Stock Available
Status In stock at supplier; delivery usually 20-30 working days due to covid19 delays
Publisher Atlantis Press
Imprint Atlantis Press
Released 16 Dec 2013
Publication Country Netherlands Netherlands
Format Hardback, 2014 ed.
Edition 2014 ed.
Author(s) By Meirmanov, Anvarbek
Series Atlantis Studies in Differential Equations (part: 1)
Category Differential Equations
Applied Mathematics
Classical Mechanics (Physics)
Number of Pages 449
Dimensions Width: 155mm
Height: 235mm
Spine: 30mm
Dewey Code 515.353
Weight 8,513g
Interest Age General Audience
Reading Age General Audience
Library of Congress Mathematics, Differential equations, partial, Mathematical physics, Mechanics
NBS Text Mathematics
ONIX Text Professional and scholarly