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Volumn 390, Issue 1, 2012, Pages 374-393

Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system

Author keywords

Colloidal transport; Homogenization; Porous media; Stokes Nernst Planck Poisson system; Two scale convergence

Indexed keywords


EID: 84856746775     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2012.01.052     Document Type: Article
Times cited : (55)

References (31)
  • 1
    • 0040539657 scopus 로고
    • An extension theorem from connected sets, and homogenization in general periodic domains
    • Acerbi Emilio, Chiado Piat Valeria, Dal Maso Gianni, Percivale Danilo An extension theorem from connected sets, and homogenization in general periodic domains. Nonlinear Anal. 1992, 18:481-496.
    • (1992) Nonlinear Anal. , vol.18 , pp. 481-496
    • Acerbi, E.1    Chiado Piat, V.2    Dal Maso, G.3    Percivale, D.4
  • 2
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • Allaire Gregoire Homogenization and two-scale convergence. SIAM J. Math. Anal. 1992, 23(6):1482-1518.
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.6 , pp. 1482-1518
    • Allaire, G.1
  • 4
    • 78650697296 scopus 로고    scopus 로고
    • Homogenization of the linearized ionic transport equations in rigid periodic porous media
    • Allaire Gregoire, Mikelić Andro, Piatnitski Andrey Homogenization of the linearized ionic transport equations in rigid periodic porous media. J. Math. Phys. 2010, 51.
    • (2010) J. Math. Phys. , vol.51
    • Allaire, G.1    Mikelić, A.2    Piatnitski, A.3
  • 5
    • 0029527343 scopus 로고
    • Taylor dispersion in porous media: Analysis by multiple scale expansions
    • Auriault Jean-Louis, Adler P.M. Taylor dispersion in porous media: Analysis by multiple scale expansions. Adv. Water Resources 1995, 18(3):211-226.
    • (1995) Adv. Water Resources , vol.18 , Issue.3 , pp. 211-226
    • Auriault, J.-L.1    Adler, P.M.2
  • 6
    • 0028667360 scopus 로고
    • On the cross-effects of coupled macroscopic transport equations in porous media
    • Auriault Jean-Louis, Lewandowska Jolanta On the cross-effects of coupled macroscopic transport equations in porous media. Transp. Porous Media 1994, 16:31-52.
    • (1994) Transp. Porous Media , vol.16 , pp. 31-52
    • Auriault, J.-L.1    Lewandowska, J.2
  • 7
    • 0036608413 scopus 로고    scopus 로고
    • Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: I. Macroscopic field equations
    • Schreyer-Bennethum Lynn, Cushman John H. Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: I. Macroscopic field equations. Transp. Porous Media 2002, 47:309-336.
    • (2002) Transp. Porous Media , vol.47 , pp. 309-336
    • Schreyer-Bennethum, L.1    Cushman, J.H.2
  • 8
    • 0036609450 scopus 로고    scopus 로고
    • Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: II. Constitutive theory
    • Schreyer-Bennethum Lynn, Cushman John H. Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: II. Constitutive theory. Transp. Porous Media 2002, 47:337-362.
    • (2002) Transp. Porous Media , vol.47 , pp. 337-362
    • Schreyer-Bennethum, L.1    Cushman, J.H.2
  • 10
    • 0018531750 scopus 로고
    • Homogenization in open sets with holes
    • Cioranescu Diona, Paulin Jeannine Staint-Jean Homogenization in open sets with holes. J. Math. Anal. Appl. 1979, 71:590-607.
    • (1979) J. Math. Anal. Appl. , vol.71 , pp. 590-607
    • Cioranescu, D.1    Paulin, J.S.J.2
  • 12
    • 84856711100 scopus 로고    scopus 로고
    • Christof Eck, A two-scale phase field model for liquid-solid phase transitions of binary mixtures with dendritic microstructure, Habilitation thesis, University of Erlangen-Nuremberg, 2004.
    • Christof Eck, A two-scale phase field model for liquid-solid phase transitions of binary mixtures with dendritic microstructure, Habilitation thesis, University of Erlangen-Nuremberg, 2004.
  • 14
  • 15
    • 0000572077 scopus 로고
    • Diffusion, convection, adsorption and reaction of chemicals in porous media
    • Hornung Ulrich, Jäger Willi Diffusion, convection, adsorption and reaction of chemicals in porous media. J. Differential Equations 1991, 92:199-225.
    • (1991) J. Differential Equations , vol.92 , pp. 199-225
    • Hornung, U.1    Jäger, W.2
  • 16
    • 0040650239 scopus 로고
    • Reactive transport through an array of cells with semi-permeable membranes
    • Hornung Ulrich, Jäger Willi, Mikelić Andro Reactive transport through an array of cells with semi-permeable membranes. Math. Model. Numer. Anal. 1994, 28(1):59-94.
    • (1994) Math. Model. Numer. Anal. , vol.28 , Issue.1 , pp. 59-94
    • Hornung, U.1    Jäger, W.2    Mikelić, A.3
  • 19
    • 84856743281 scopus 로고    scopus 로고
    • Looker, The electrokinetics of porous colloidal particles, PhD thesis, University of Melbourne.
    • Jason R. Looker, The electrokinetics of porous colloidal particles, PhD thesis, University of Melbourne, 2006.
    • (2006)
    • Jason, R.1
  • 20
    • 61849156793 scopus 로고    scopus 로고
    • Derivation of a macroscopic receptor-based model using homogenization technique
    • Marciniak-Czochra Anna, Ptashnyk Mariya Derivation of a macroscopic receptor-based model using homogenization technique. SIAM J. Math. Anal. 2008, 40(1):215-237.
    • (2008) SIAM J. Math. Anal. , vol.40 , Issue.1 , pp. 215-237
    • Marciniak-Czochra, A.1    Ptashnyk, M.2
  • 22
    • 0036901228 scopus 로고    scopus 로고
    • Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure
    • Moyne Christian, Murad Márcio A. Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure. Internat. J. Solids Structures 2006, 39:6159-6190.
    • (2006) Internat. J. Solids Structures , vol.39 , pp. 6159-6190
    • Moyne, C.1    Murad Márcio, A.2
  • 23
    • 33644546366 scopus 로고    scopus 로고
    • A two-scale model for coupled electro-chemo-mechanical phenomena and Onsager's reciprocity relation in expansive clays: I Homogenization results
    • Moyne Christian, Murad Márcio A. A two-scale model for coupled electro-chemo-mechanical phenomena and Onsager's reciprocity relation in expansive clays: I Homogenization results. Transp. Porous Media 2006, 62:333-380.
    • (2006) Transp. Porous Media , vol.62 , pp. 333-380
    • Moyne, C.1    Murad Márcio, A.2
  • 24
    • 0001339947 scopus 로고    scopus 로고
    • Some extensions of two-scale convergence
    • Neuss-Radu Maria Some extensions of two-scale convergence. C. R. Math. Acad. Sci. Sér. 1 1996, 332(9):899-904.
    • (1996) C. R. Math. Acad. Sci. Sér. 1 , vol.332 , Issue.9 , pp. 899-904
    • Neuss-Radu, M.1
  • 25
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • Nguetseng Gabriel A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 1989, 20:608-629.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 608-629
    • Nguetseng, G.1
  • 26
    • 47749091609 scopus 로고    scopus 로고
    • Different choices of scaling in homogenization of diffusion and interfacial exchange in a porous medium
    • Peter Malte A., Böhm Michael Different choices of scaling in homogenization of diffusion and interfacial exchange in a porous medium. Math. Methods Appl. Sci. 2008, 31:1257-1282.
    • (2008) Math. Methods Appl. Sci. , vol.31 , pp. 1257-1282
    • Peter, M.A.1    Böhm, M.2
  • 28
    • 84856709260 scopus 로고    scopus 로고
    • Markus Schmuck, Modeling, analysis, and numerics in electrohydrodynamics, PhD thesis, University Tübingen.
    • Markus Schmuck, Modeling, analysis, and numerics in electrohydrodynamics, PhD thesis, University Tübingen, 2008.
    • (2008)
  • 29
    • 79953056462 scopus 로고    scopus 로고
    • Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multiple-scale approach
    • Schmuck Markus Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multiple-scale approach. Commun. Math. Sci. 2011, 3(9):685-710.
    • (2011) Commun. Math. Sci. , vol.3 , Issue.9 , pp. 685-710
    • Schmuck, M.1
  • 30
    • 26844457021 scopus 로고    scopus 로고
    • Mobile organic sorbent affected contaminant transport in soil: Numerical case studies for enhanced and reduced mobility
    • Totsche Kai-Uwe, Kögel-Knabner Ingrid Mobile organic sorbent affected contaminant transport in soil: Numerical case studies for enhanced and reduced mobility. Vadose Zone J. 2004, 3:352-367.
    • (2004) Vadose Zone J. , vol.3 , pp. 352-367
    • Totsche, K.-U.1    Kögel-Knabner, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.