000			03186nam a22004815i 4500
001			978-94-6239-015-7
003			DE-He213
005			20140220082533.0
007			cr nn 008mamaa
008			131128s2014 fr | s |||| 0|eng d
020			_a9789462390157 _9978-94-6239-015-7
024	7		_a10.2991/978-94-6239-015-7 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aMeirmanov, Anvarbek. _eauthor.
245	1	0	_aMathematical Models for Poroelastic Flows _h[electronic resource] / _cby Anvarbek Meirmanov.
264		1	_aParis : _bAtlantis Press : _bImprint: Atlantis Press, _c2014.
300			_aXXXVIII, 449 p. 25 illus., 3 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAtlantis Studies in Differential Equations, _x2214-6253 ; _v1
505	0		_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.
520			_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.
650		0	_aMathematics.
650		0	_aDifferential equations, partial.
650		0	_aMathematical physics.
650		0	_aMechanics.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aMechanics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9789462390140
830		0	_aAtlantis Studies in Differential Equations, _x2214-6253 ; _v1
856	4	0	_uhttp://dx.doi.org/10.2991/978-94-6239-015-7
912			_aZDB-2-SMA
999			_c94156 _d94156