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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Mathematical Models for Poroelastic Flows (Hardcover, 2014 ed.)
Loot Price: R3,583
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Mathematical Models for Poroelastic Flows (Hardcover, 2014 ed.)
Series: Atlantis Studies in Differential Equations, 1
Expected to ship within 12 - 17 working days
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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 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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