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| 999 | _c3196 | ||
| 001 | 17874080 | ||
| 003 | EC-UrYT | ||
| 005 | 20200623150311.0 | ||
| 006 | s||||gr|||| 00| 00 | ||
| 008 | 130903s2013 nyu 000 0 eng | ||
| 010 | _a 2013949487 | ||
| 020 | _a9789462390140 (hbk) | ||
| 040 |
_aEC-UrYT _bEC-UrYT _cEC-UrYT _erda _dEC-UrYT |
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| 041 | _aeng | ||
| 042 | _apcc | ||
| 082 | 0 | 4 |
_223 _a511.8 |
| 100 | 1 |
_97538 _aMeirmanov, A. M. _q(Anvarbek Mukatovich) |
|
| 245 | 1 | 0 |
_aMathematical models for poroelastic flows / _cAnvarbek Meirmanov. |
| 250 | _aFirst Edition | ||
| 264 | 3 | 4 |
_aAmsterdam : _bAtlantis Press, _c2014. |
| 300 |
_axxxviii, 449 pages : _billustrations ; _c24 cm. |
||
| 490 | 0 |
_aAtlantis studies in differential equations _v1. _x2214-6253 |
|
| 505 | 2 | _a1. Isothermal Liquid Filtration -- 2. Filtration of a Compressible Thermo-Fluid -- 3. Hydraulic Shock in Incompressible Poroelastic Media -- 4. Double Porosity Models for a Liquid Filtration -- 5. Filtration in Composite Incompressible Media -- 6. Isothermal Liquid Filtration -- 7. Non-isothermal Acoustics in Poroelastic Media -- 8. Isothermal Acoustics in Composite Media -- 9. Double Porosity Models for Acoustics -- 10. Diffusion and Convection in Porous Media -- 11. The Muskat Problem. | |
| 520 | 3 | _aThe 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. | |
| 650 | 2 | 4 |
_9503 _aMathematics |
| 650 | 2 | 4 |
_9540 _aMathematical physics |
| 650 | 2 | 4 |
_9529 _aDifferential equations, Partial |
| 650 | 2 | 4 |
_92112 _aMechanics |
| 650 | 2 | 4 |
_92378 _aPorous materials _xMathematical models |
| 650 | 2 | 4 |
_92161 _aElasticity |
| 650 | 2 | 4 |
_9432 _aPhysics |
| 856 | 4 | 2 |
_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy1317/2013949487-d.html |
| 856 | 4 | 1 |
_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy1404/2013949487-t.html |
| 942 |
_2ddc _cLIBRO |
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