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| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QC173.4.SPR FCT 82962 (Browse shelf) | 1 | Available |
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| QC173.4.SPR FCT 81972 Frontiers and challenges in warm dense matter | QC173.4.SPR FCT 82291 Quadratura delle superficie e questioni connesse | QC173.4.SPR FCT 82519 Disorder and critical phenomena through basic probability models | QC173.4.SPR FCT 82962 Mathematical models for poroelastic flows | QC173.55.SPR FCT The potential of fields in einstein's theory of gravitation | QC173.55.SPR FCT 104166 How Einstein found his field equations | QC173.55.SPR FCT 81698 Stability by linearization of Einstein’s field equation |
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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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