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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 10: Mathematical & Numerical Analysis of Flow and Transport in Porous Media
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Original Articles

Upscaling nonlinear adsorption in periodic porous media – homogenization approach

Grégoire AllaireCMAP, UMR CRNS 7641, École Polytechnique, Route de Saclay, PalaiseauF91128, France.Correspondence[email protected]
&
Harsha HutridurgaDPMMS, CMS, University of Cambridge, Wilberforce Road, CambridgeCB3 0WB, UK.
Pages 2126-2161 | Received 06 Jan 2015, Accepted 02 Apr 2015, Published online: 27 Apr 2015

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Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva & Yating Wang. (2017) Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains. Applicable Analysis 96:12, pages 2002-2031.
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A. Brillard, D. Gómez, M. Lobo, E. Pérez & T. A. Shaposhnikova. (2016) Boundary homogenization in perforated domains for adsorption problems with an advection term. Applicable Analysis 95:7, pages 1517-1533.
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Articles from other publishers (12)

Vishnu Raveendran, Ida de Bonis, Emilio Cirillo & Adrian Muntean. (2024) Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data. Quarterly of Applied Mathematics.
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M. Amar, D. Andreucci & C. Timofte. (2023) Interface potential in composites with general imperfect transmission conditions. Zeitschrift für angewandte Mathematik und Physik 74:5.
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M. K. Bourbatache, O. Millet & C. Moyne. (2023) Upscaling coupled heterogeneous diffusion reaction equations in porous media. Acta Mechanica 234:6, pages 2293-2314.
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Carmen Perugia. A note on the homogenization for a coupled system of reaction-diffusion equations. A note on the homogenization for a coupled system of reaction-diffusion equations.
Vishnu Raveendran, Emilio Cirillo & Adrian Muntean. (2022) Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift. Quarterly of Applied Mathematics 80:4, pages 641-667.
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Jean Carlos Nakasato & Marcone Corrêa Pereira. (2022) An optimal control problem in a tubular thin domain with rough boundary. Journal of Differential Equations 313, pages 188-243.
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Oleg Iliev, Andro Mikelić, Torben Prill & Arsha Sherly. (2020) Homogenization approach to the upscaling of a reactive flow through particulate filters with wall integrated catalyst. Advances in Water Resources 146, pages 103779.
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G. Cardone, C. Perugia & C. Timofte. (2019) Homogenization results for a coupled system of reaction–diffusion equations. Nonlinear Analysis 188, pages 236-264.
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Renata Bunoiu & Radu Precup. (2019) Localization and multiplicity in the homogenization of nonlinear problems. Advances in Nonlinear Analysis 9:1, pages 292-304.
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Delfina Gómez, Miguel Lobo & María‐Eugenia Pérez‐Martínez. (2018) Asymptotics for models of non‐stationary diffusion in domains with a surface distribution of obstacles. Mathematical Methods in the Applied Sciences 42:1, pages 403-413.
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Renata Bunoiu & Claudia Timofte. (2019) Upscaling of a parabolic system with a large nonlinear surface reaction term. Journal of Mathematical Analysis and Applications 469:2, pages 549-567.
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Ekeoma R. Ijioma & Stephen E. Moore. (2018) Multiscale Galerkin approximation scheme for a system of quasilinear parabolic equations. Journal of Mathematical Analysis and Applications 468:2, pages 1043-1065.
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