| Document Type
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BL
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| Record Number
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776977
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| Doc. No
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b596977
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| Main Entry
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Anvarbek Meirmanov.
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| Title & Author
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Mathematical models for poroelastic flows\ Anvarbek Meirmanov.
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| Publication Statement
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Paris : Atlantis Press, 2014
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| Series Statement
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Atlantis studies in differential equations, 1.
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| Page. NO
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(477 pages) : illustrations
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| ISBN
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9462390150
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: 9789462390157
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| Contents
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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.
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| Abstract
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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 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.
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| Subject
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Differential equations, Partial.
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| Subject
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Mathematical physics.
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| Subject
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Mathematics.
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| LC Classification
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QA20.A583 2014
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| Added Entry
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A M Meĭrmanov
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