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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 7: Upscaling in Engineering and Biology
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Original Articles

Boundary homogenization in perforated domains for adsorption problems with an advection term

A. BrillardLab. Gestion des Risques et Environnement Université de Mulhouse, Mulhouse, France.View further author information
,
D. GómezDepartamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Santander, Spain.View further author information
,
M. LoboDepartamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Santander, Spain.View further author information
,
E. PérezDepartamento de Matemática Aplicada y Ciencias de la Computación, Universidad de Cantabria, Santander, Spain.Correspondence[email protected]
View further author information
&
T. A. ShaposhnikovaDepartment of Differential Equations, Moscow State University, Moscow, Russia.View further author information
Pages 1517-1533 | Received 08 Nov 2015, Accepted 05 Feb 2016, Published online: 07 Mar 2016

Citations (13)

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D. Gómez, M. Lobo, E. Pérez & E. Sanchez-Palencia. (2018) Homogenization in perforated domains: a Stokes grill and an adsorption process. Applicable Analysis 97:16, pages 2893-2919.
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Articles from other publishers (12)

D. Gómez & M.-E. Pérez-Martínez. (2022) Boundary homogenization with large reaction terms on a strainer-type wall. Zeitschrift für angewandte Mathematik und Physik 73:6.
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Renata Bunoiu, Karim Karim & Claudia Timofte. (2021) T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains. Electronic Journal of Differential Equations 2021:01-104, pages 59.
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M. N. Zubova & T. A. Shaposhnikova. (2021) Appearance of a Nonlocal Monotone Operator in Transmission Conditions when Homogenizing the Poisson Equation in a Domain Perforated Along an (n − 1)-Dimensional Manifold by Sets of Arbitrary Shape and Critical Size with Nonlinear Dynamic Boundary Conditions on the Boundary of Perforations. Journal of Mathematical Sciences 255:4, pages 423-443.
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Marcone C. Pereira & Silvia Sastre-Gomez. (2021) Nonlocal and nonlinear evolution equations in perforated domains. Journal of Mathematical Analysis and Applications 495:2, pages 124729.
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Delfina Gómez, Sergey A. Nazarov & Maria-Eugenia Pérez-Martínez. 2020. Computational and Analytic Methods in Science and Engineering. Computational and Analytic Methods in Science and Engineering 127 150 .
E. Ya. Khruslov & L. O. Khilkova. (2019) Model of Stationary Diffusion with Absorption In Domains With Fine-Grained Random Boundaries. Ukrainian Mathematical Journal 71:5, pages 792-807.
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D. Gómez, E. Pérez, A. V. Podolskii & T. A. Shaposhnikova. (2017) Homogenization of Variational Inequalities for the p-Laplace Operator in Perforated Media Along Manifolds. Applied Mathematics & Optimization 79:3, pages 695-713.
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Marcone C. Pereira & Julio D. Rossi. (2019) Nonlocal problems in perforated domains. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, pages 1-36.
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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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Marcone C. Pereira. (2018) Nonlocal evolution equations in perforated domains. Mathematical Methods in the Applied Sciences 41:16, pages 6368-6377.
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Delfina Gómez, Miguel Lobo, Eugenia Pérez, Alexander V. Podolskii & Tatiana A. Shaposhnikova. (2018) Unilateral problems for the p -Laplace operator in perforated media involving large parameters . ESAIM: Control, Optimisation and Calculus of Variations 24:3, pages 921-964.
Crossref
D. Gómez, E. Pérez, A. V. Podol’skii & T. A. Shaposhnikova. 2017. Integral Methods in Science and Engineering, Volume 1. Integral Methods in Science and Engineering, Volume 1 119 138 .

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