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.
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential equations, Partial.
موضوع مستند نشده
Mathematical physics.
موضوع مستند نشده
Mathematics.
رده بندی کنگره
شماره رده
QA20
نشانه اثر
.
A583
2014
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )