Auton, L. C.; Pramanik, S.; Dalwadi, M. P.; MacMinn, C. W.; Griffiths, I. M. A homogenised model for flow, transport and sorption in a heterogeneous porous medium. (English) Zbl 1486.76078 J. Fluid Mech. 932, Paper No. A34, 33 p. (2022). Reviewer: Adrian Muntean (Karlstad) MSC: 76S05 76T20 76D07 76M50 PDF BibTeX XML Cite \textit{L. C. Auton} et al., J. Fluid Mech. 932, Paper No. A34, 33 p. (2022; Zbl 1486.76078) Full Text: DOI arXiv OpenURL
da Silva Mariano, July Hebert; Lima, Sidarta Araújo; Klein, Viviane; Radtke, Luiz Carlos Multi-scale computational modeling for pH-dependent flows and bivalent ions: application to kaolinite clays. (English) Zbl 1476.76004 Comput. Appl. Math. 40, No. 6, Paper No. 197, 36 p. (2021). MSC: 76-10 76M10 76M50 65M60 35B27 35Q92 76S05 PDF BibTeX XML Cite \textit{J. H. da Silva Mariano} et al., Comput. Appl. Math. 40, No. 6, Paper No. 197, 36 p. (2021; Zbl 1476.76004) Full Text: DOI OpenURL
El Moumen, A.; Kanit, T.; Imad, A. Numerical evaluation of the representative volume element for random composites. (English) Zbl 1479.74108 Eur. J. Mech., A, Solids 86, Article ID 104181, 9 p. (2021). MSC: 74Q15 74A40 74B05 74S99 PDF BibTeX XML Cite \textit{A. El Moumen} et al., Eur. J. Mech., A, Solids 86, Article ID 104181, 9 p. (2021; Zbl 1479.74108) Full Text: DOI OpenURL
Tumakov, D. N.; Rung, E. V.; Danilova, A. V. Solving the problem of elastic waves diffraction by a fluid-saturated porous gradient layer using a second-order finite-difference scheme. (English) Zbl 1434.65140 Lobachevskii J. Math. 40, No. 10, 1739-1752 (2019). MSC: 65M06 76S05 65M12 65M15 42A38 34C25 65L10 74J05 PDF BibTeX XML Cite \textit{D. N. Tumakov} et al., Lobachevskii J. Math. 40, No. 10, 1739--1752 (2019; Zbl 1434.65140) Full Text: DOI OpenURL
Bourbatache, M. K.; Hellou, M.; Lominé, F. Two-scale analysis of the permeability of 3D periodic granular and fibrous media. (English) Zbl 1428.74066 Acta Mech. 230, No. 10, 3703-3721 (2019). MSC: 74F10 74E20 PDF BibTeX XML Cite \textit{M. K. Bourbatache} et al., Acta Mech. 230, No. 10, 3703--3721 (2019; Zbl 1428.74066) Full Text: DOI OpenURL
Ijioma, Ekeoma R.; Muntean, Adrian Fast drift effects in the averaging of a filtration combustion system: a periodic homogenization approach. (English) Zbl 1401.80008 Q. Appl. Math. 77, No. 1, 71-104 (2019). MSC: 80A32 76M50 80A25 35B27 80A20 76V05 PDF BibTeX XML Cite \textit{E. R. Ijioma} and \textit{A. Muntean}, Q. Appl. Math. 77, No. 1, 71--104 (2019; Zbl 1401.80008) Full Text: DOI arXiv OpenURL
Le, Tien Dung; Murad, Marcio A. A new multiscale model for flow and transport in unconventional shale oil reservoirs. (English) Zbl 1480.76120 Appl. Math. Modelling 64, 453-479 (2018). MSC: 76S05 86A05 PDF BibTeX XML Cite \textit{T. D. Le} and \textit{M. A. Murad}, Appl. Math. Modelling 64, 453--479 (2018; Zbl 1480.76120) Full Text: DOI OpenURL
Ameen, M. M.; Peerlings, R. H. J.; Geers, M. G. D. A quantitative assessment of the scale separation limits of classical and higher-order asymptotic homogenization. (English) Zbl 1406.74553 Eur. J. Mech., A, Solids 71, 89-100 (2018). MSC: 74Q05 74E05 PDF BibTeX XML Cite \textit{M. M. Ameen} et al., Eur. J. Mech., A, Solids 71, 89--100 (2018; Zbl 1406.74553) Full Text: DOI OpenURL
Panasenko, G. P. Multicontinuum wave propagation in a laminated beam with contrasting stiffness and density of layers. (English. Russian original) Zbl 1397.35016 J. Math. Sci., New York 232, No. 4, 503-515 (2018); translation from Probl. Mat. Anal. 93, 89-99 (2018). MSC: 35B27 35L20 74K10 PDF BibTeX XML Cite \textit{G. P. Panasenko}, J. Math. Sci., New York 232, No. 4, 503--515 (2018; Zbl 1397.35016); translation from Probl. Mat. Anal. 93, 89--99 (2018) Full Text: DOI OpenURL
Carr, Elliot J.; Turner, I. W.; Perré, Patrick Macroscale modelling of multilayer diffusion: using volume averaging to correct the boundary conditions. (English) Zbl 1446.74011 Appl. Math. Modelling 47, 600-618 (2017). MSC: 74-10 35B27 76S05 PDF BibTeX XML Cite \textit{E. J. Carr} et al., Appl. Math. Modelling 47, 600--618 (2017; Zbl 1446.74011) Full Text: DOI Link OpenURL
Auriault, Jean-Louis The paradox of Fourier heat equation: a theoretical refutation. (English) Zbl 1423.80002 Int. J. Eng. Sci. 118, 82-88 (2017). MSC: 80A05 35Q79 80M40 35K05 PDF BibTeX XML Cite \textit{J.-L. Auriault}, Int. J. Eng. Sci. 118, 82--88 (2017; Zbl 1423.80002) Full Text: DOI OpenURL
Auriault, Jean-Louis Cattaneo-Vernotte equation versus Fourier thermoelastic hyperbolic heat equation. (English) Zbl 1423.80001 Int. J. Eng. Sci. 101, 45-49 (2016). MSC: 80A05 PDF BibTeX XML Cite \textit{J.-L. Auriault}, Int. J. Eng. Sci. 101, 45--49 (2016; Zbl 1423.80001) Full Text: DOI OpenURL
Le, Tien Dung; Murad, Marcio A.; Pereira, Patricia A.; Boutin, Claude Bridging between macroscopic behavior of shale gas reservoirs and confined fluids in nanopores. (English) Zbl 1392.86043 Comput. Geosci. 20, No. 3, 751-771 (2016). MSC: 86A20 76N25 86A60 PDF BibTeX XML Cite \textit{T. D. Le} et al., Comput. Geosci. 20, No. 3, 751--771 (2016; Zbl 1392.86043) Full Text: DOI OpenURL
Carr, E. J.; Perré, P.; Turner, I. W. The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters. (English) Zbl 1373.76333 J. Comput. Phys. 327, 810-829 (2016). MSC: 76T25 PDF BibTeX XML Cite \textit{E. J. Carr} et al., J. Comput. Phys. 327, 810--829 (2016; Zbl 1373.76333) Full Text: DOI Link OpenURL
Deckers, Elke; Jonckheere, Stijn; Vandepitte, Dirk; Desmet, Wim Modelling techniques for vibro-acoustic dynamics of poroelastic materials. (English) Zbl 1348.74096 Arch. Comput. Methods Eng. 22, No. 2, 183-236 (2015). MSC: 74F10 PDF BibTeX XML Cite \textit{E. Deckers} et al., Arch. Comput. Methods Eng. 22, No. 2, 183--236 (2015; Zbl 1348.74096) Full Text: DOI Link OpenURL
Auriault, Jean-Louis Acoustic and heat waves in Fourier thermoelastic materials. (English) Zbl 1423.74232 Int. J. Eng. Sci. 81, 100-106 (2014). MSC: 74F05 74J05 PDF BibTeX XML Cite \textit{J.-L. Auriault}, Int. J. Eng. Sci. 81, 100--106 (2014; Zbl 1423.74232) Full Text: DOI OpenURL
Carr, E. J.; Turner, I. W. Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions. (English) Zbl 1352.76110 Int. J. Numer. Methods Eng. 98, No. 3, 157-173 (2014). MSC: 76S05 65M60 74L10 PDF BibTeX XML Cite \textit{E. J. Carr} and \textit{I. W. Turner}, Int. J. Numer. Methods Eng. 98, No. 3, 157--173 (2014; Zbl 1352.76110) Full Text: DOI Link OpenURL
Boutin, Claude; Rallu, Antoine; Hans, Stephane Large scale modulation of high frequency waves in periodic elastic composites. (English) Zbl 1328.74006 J. Mech. Phys. Solids 70, 362-381 (2014). MSC: 74A40 74B99 74Q10 74J99 PDF BibTeX XML Cite \textit{C. Boutin} et al., J. Mech. Phys. Solids 70, 362--381 (2014; Zbl 1328.74006) Full Text: DOI OpenURL
Darabi, Hamed; Ettehad, A.; Javadpour, F.; Sepehrnoori, K. Gas flow in ultra-tight shale strata. (English) Zbl 1275.76196 J. Fluid Mech. 710, 641-658 (2012). MSC: 76S05 76N15 76R50 PDF BibTeX XML Cite \textit{H. Darabi} et al., J. Fluid Mech. 710, 641--658 (2012; Zbl 1275.76196) Full Text: DOI OpenURL
Lemaire, T.; Capiez-Lernout, E.; Kaiser, J.; Naili, S.; Rohan, E.; Sansalone, V. A multiscale theoretical investigation of electric measurements in living bone. (English) Zbl 1334.92032 Bull. Math. Biol. 73, No. 11, 2649-2677 (2011). MSC: 92C10 92C30 PDF BibTeX XML Cite \textit{T. Lemaire} et al., Bull. Math. Biol. 73, No. 11, 2649--2677 (2011; Zbl 1334.92032) Full Text: DOI OpenURL
Boutin, Claude; Kacprzak, Grzegorz; Thiep, Doanh Compressibility and permeability of sand-kaolin mixtures. Experiments versus nonlinear homogenization schemes. (English) Zbl 1274.74185 Int. J. Numer. Anal. Methods Geomech. 35, No. 1, 21-52 (2011). MSC: 74L10 74E30 74Q05 74-05 PDF BibTeX XML Cite \textit{C. Boutin} et al., Int. J. Numer. Anal. Methods Geomech. 35, No. 1, 21--52 (2011; Zbl 1274.74185) Full Text: DOI OpenURL
Boutin, Claude; Soubestre, Jean Generalized inner bending continua for linear fiber reinforced materials. (English) Zbl 1236.74055 Int. J. Solids Struct. 48, No. 3-4, 517-534 (2011). MSC: 74E30 74Q15 PDF BibTeX XML Cite \textit{C. Boutin} and \textit{J. Soubestre}, Int. J. Solids Struct. 48, No. 3--4, 517--534 (2011; Zbl 1236.74055) Full Text: DOI HAL OpenURL
van Noorden, T. L.; Muntean, A. Homogenisation of a locally periodic medium with areas of low and high diffusivity. (English) Zbl 1233.35020 Eur. J. Appl. Math. 22, No. 5, 493-516 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35C20 35K57 35Q35 76S05 35K20 PDF BibTeX XML Cite \textit{T. L. van Noorden} and \textit{A. Muntean}, Eur. J. Appl. Math. 22, No. 5, 493--516 (2011; Zbl 1233.35020) Full Text: DOI arXiv OpenURL
Fatima, Tasnim; Arab, Nasrin; Zemskov, Evgeny P.; Muntean, Adrian Homogenization of a reaction-diffusion system modeling sulfate corrosion of concrete in locally periodic perforated domains. (English) Zbl 1325.76197 J. Eng. Math. 69, No. 2-3, 261-276 (2011). MSC: 76V05 76M50 35K57 35B27 PDF BibTeX XML Cite \textit{T. Fatima} et al., J. Eng. Math. 69, No. 2--3, 261--276 (2011; Zbl 1325.76197) Full Text: DOI OpenURL
Royer, P.; Cherblanc, F. Homogenisation of advective-diffusive transport in poroelastic media. (English) Zbl 1272.74534 Mech. Res. Commun. 37, No. 2, 133-136 (2010). MSC: 74Q05 74F10 76S05 76M50 PDF BibTeX XML Cite \textit{P. Royer} and \textit{F. Cherblanc}, Mech. Res. Commun. 37, No. 2, 133--136 (2010; Zbl 1272.74534) Full Text: DOI Link OpenURL
Huang, Zhaoqin; Yao, Jun; Li, Yajun; Wang, Chenchen; Lü, Xinrui Permeability analysis of fractured vuggy porous media based on homogenization theory. (English) Zbl 1193.76144 Sci. China, Technol. Sci. 53, No. 3, 839-847 (2010). MSC: 76S05 PDF BibTeX XML Cite \textit{Z. Huang} et al., Sci. China, Technol. Sci. 53, No. 3, 839--847 (2010; Zbl 1193.76144) Full Text: DOI OpenURL
Lemaire, Thibault; Naili, Salah; Sansalone, Vittorio Multiphysical modelling of fluid transport through osteo-articular media. (English) Zbl 1425.92018 An. Acad. Bras. Ciênc. 82, No. 1, 127-144 (2010). MSC: 92C10 76S05 92C35 76M45 PDF BibTeX XML Cite \textit{T. Lemaire} et al., An. Acad. Bras. Ciênc. 82, No. 1, 127--144 (2010; Zbl 1425.92018) Full Text: DOI OpenURL
in ’t Panhuis, P. H. M. W.; Rienstra, S. W.; Molenaar, J.; Slot, J. J. M. Weakly nonlinear thermoacoustics for stacks with slowly varying pore cross-sections. (English) Zbl 1156.76440 J. Fluid Mech. 618, 41-70 (2009). MSC: 76Q05 76S05 80A20 PDF BibTeX XML Cite \textit{P. H. M. W. in 't Panhuis} et al., J. Fluid Mech. 618, 41--70 (2009; Zbl 1156.76440) Full Text: DOI OpenURL
Murad, Márcio A.; Moyne, Christian A dual-porosity model for ionic solute transport in expansive clays. (English) Zbl 1153.76429 Comput. Geosci. 12, No. 1, 47-82 (2008). MSC: 76S05 76M25 PDF BibTeX XML Cite \textit{M. A. Murad} and \textit{C. Moyne}, Comput. Geosci. 12, No. 1, 47--82 (2008; Zbl 1153.76429) Full Text: DOI OpenURL
Wang, Liqiu; Wei, Xiaohao Equivalence between dual-phase-lagging and two-phase-system heat conduction processes. (English) Zbl 1140.80375 Int. J. Heat Mass Transfer 51, No. 7-8, 1751-1756 (2008). MSC: 80A20 76S05 PDF BibTeX XML Cite \textit{L. Wang} and \textit{X. Wei}, Int. J. Heat Mass Transfer 51, No. 7--8, 1751--1756 (2008; Zbl 1140.80375) Full Text: DOI OpenURL
Boutin, Claude; Roussillon, Pierre Wave propagation in presence of oscillators on the free surface. (English) Zbl 1213.74165 Int. J. Eng. Sci. 44, No. 3-4, 180-204 (2006). MSC: 74J15 74Q10 PDF BibTeX XML Cite \textit{C. Boutin} and \textit{P. Roussillon}, Int. J. Eng. Sci. 44, No. 3--4, 180--204 (2006; Zbl 1213.74165) Full Text: DOI HAL OpenURL
Khuzhayorov, B. Kh. Macroscopic simulation of relaxation mass transport in a porous medium. (English. Russian original) Zbl 1184.76865 Fluid Dyn. 39, No. 5, 693-701 (2004); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 21-30 (2004). MSC: 76S05 80A20 PDF BibTeX XML Cite \textit{B. Kh. Khuzhayorov}, Fluid Dyn. 39, No. 5, 693--701 (2004; Zbl 1184.76865); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 21--30 (2004) Full Text: DOI OpenURL
Auriault, J.-L.; Royer, P.; Geindreau, C. Filtration law for power-law fluids in anisotropic porous media. (English) Zbl 1211.76109 Int. J. Eng. Sci. 40, No. 10, 1151-1163 (2002). MSC: 76S05 76A05 76M50 PDF BibTeX XML Cite \textit{J. L. Auriault} et al., Int. J. Eng. Sci. 40, No. 10, 1151--1163 (2002; Zbl 1211.76109) Full Text: DOI OpenURL
Khuzhayorov, B.; Auriault, J.-L.; Royer, P. Derivation of macroscopic filtration law for transient linear viscoelastic fluid flow in porous media. (English) Zbl 1210.76177 Int. J. Eng. Sci. 38, No. 5, 487-504 (2000). MSC: 76S05 76A10 76M50 PDF BibTeX XML Cite \textit{B. Khuzhayorov} et al., Int. J. Eng. Sci. 38, No. 5, 487--504 (2000; Zbl 1210.76177) Full Text: DOI OpenURL
Hristopulos, Dionissios T.; Christakos, George Diagrammatic theory of effective hydraulic conductivity. (English) Zbl 0911.76090 Stochastic Hydrology Hydraul. 11, No. 5, 369-395 (1997). MSC: 76S05 76M35 86A05 PDF BibTeX XML Cite \textit{D. T. Hristopulos} and \textit{G. Christakos}, Stochastic Hydrology Hydraul. 11, No. 5, 369--395 (1997; Zbl 0911.76090) Full Text: DOI OpenURL