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Cookie akzeptieren![Meirmanov, Anvarbek. Mathematical Models for Poroelastic Flows. Atlantis Press, 2013.](https://eichendorff21.de/cdata/wyn76cFNjsWDC2M_x4An2YeX_dc=/300x0/9789462390140.png)
Anvarbek Meirmanov
Mathematical Models for Poroelastic Flows
- Atlantis Press
- 2013
- Gebunden
- 488 Seiten
- ISBN 9789462390140
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
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