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010   $a9789462390157
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024 7 $a10.2991/978-94-6239-015-7
035   $a(OCoLC)869793335
035   $a(MiFhGG)GVRL6XSU
035   $a(CKB)3710000000075898
035   $a(MiAaPQ)EBC1593342
035   $a(MiFhGG)9789462390157
035   $a(DE-He213)978-94-6239-015-7
035   $a(EXLCZ)993710000000075898
100   $a20131128d2014      u|         0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aMathematical Models for Poroelastic Flows /$fby Anvarbek Meirmanov
205   $a1st ed. 2014.
210  1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2014.
215   $a1 online resource (xxxviii, 449 pages) $cillustrations (some color)
225 1 $aAtlantis Studies in Differential Equations,$x2214-6261 ;$v1
300   $a"ISSN: 2214-6253."
311 08$a9789462390140 
311 08$a9462390142 
320   $aIncludes bibliographical references.
327   $aIsothermal 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 acoustics in poroelastic media -- 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.
330   $aThe book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations still hold at this scale of the pore size in the order of 5 ? 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical models describe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method.
410  0$aAtlantis Studies in Differential Equations,$x2214-6261 ;$v1
606   $aDifferential equations
606   $aMathematical physics
606   $aMechanics
606   $aDifferential Equations
606   $aMathematical Methods in Physics
606   $aClassical Mechanics
615  0$aDifferential equations.
615  0$aMathematical physics.
615  0$aMechanics.
615 14$aDifferential Equations.
615 24$aMathematical Methods in Physics.
615 24$aClassical Mechanics.
676   $a515.353
700   $aMeirmanov$b Anvarbek$4aut$4http://id.loc.gov/vocabulary/relators/aut$042636
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910300145403321
996   $aMathematical Models for Poroelastic Flows$92512355
997   $aUNINA