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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Abylaikhan A. Tolemis. (2024) Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure. Applicable Analysis 103:1, pages 29-44.
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Jake Avila & Bituin Cabarrubias. (2022) Homogenization of a quasilinear elliptic problem in domains with small holes. Applicable Analysis 101:15, pages 5193-5212.
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M. Lind, A. Muntean & O. M. Richardson. (2018) Well-posedness and inverse Robin estimate for a multiscale elliptic/parabolic system. Applicable Analysis 97:1, pages 89-106.
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Articles from other publishers (27)
F. Feppon. (2024) Multiscale Topology Optimization of modulated fluid microchannels based on asymptotic homogenization. Computer Methods in Applied Mechanics and Engineering 419, pages 116646.
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Goro Akagi & Tomoyuki Oka. (2023) Space-time homogenization for nonlinear diffusion. Journal of Differential Equations 358, pages 386-456.
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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Vladimir V. Chepyzhov. (2023) Application of Fatou’s Lemma for Strong Homogenization of Attractors to Reaction–Diffusion Systems with Rapidly Oscillating Coefficients in Orthotropic Media with Periodic Obstacles. Mathematics 11:6, pages 1448.
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Kuanysh Abdrakhmanovich Bekmaganbetov, Vladimir Victorovich Chepyzhov & Gregory Aleksandrovich Chechkin. (2022) Strong convergence of attractors of reaction-diffusion system with rapidly oscillating
terms in an orthotropic porous medium. Izvestiya: Mathematics 86:6, pages 1072-1101.
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Kuanysh Abdrakhmanovich Bekmaganbetov, Vladimir Victorovich Chepyzhov & Gregory Aleksandrovich Chechkin. (2022) Сильная сходимость аттракторов системы реакции-диффузии с быстро осциллирующими членами в ортотропной пористой средеStrong convergence of attractors of reaction-diffusion system with rapidly oscillating
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K. A. Bekmaganbetov, V. V. Chepyzhov & G. A. Chechkin. (2021) Homogenization of Attractors of Reaction–Diffusion System with Rapidly Oscillating Terms in an Orthotropic Porous Medium. Journal of Mathematical Sciences 259:2, pages 148-166.
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Vo Anh Khoa, Thi Kim Thoa Thieu & Ekeoma Rowland Ijioma. (2021) On a pore-scale stationary diffusion equation: Scaling effects and correctors for the homogenization limit. Discrete & Continuous Dynamical Systems - B 26:5, pages 2451.
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Martin Lind, Adrian Muntean & Omar Richardson. (2020) A semidiscrete Galerkin scheme for a coupled two-scale elliptic–parabolic system: well-posedness and convergence approximation rates. BIT Numerical Mathematics 60:4, pages 999-1031.
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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Vladimir V. Chepyzhov. (2020) “Strange term” in homogenization of attractors of reaction–diffusion equation in perforated domain. Chaos, Solitons & Fractals 140, pages 110208.
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Adrian Muntean & Christos Nikolopoulos. (2020) Colloidal Transport in Locally Periodic Evolving Porous Media---An Upscaling Exercise. SIAM Journal on Applied Mathematics 80:1, pages 448-475.
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T. A. Suslina. (2018) Spectral Approach to Homogenization of Elliptic Operators in a Perforated Space. Reviews in Mathematical Physics 30:08, pages 1840016.
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Mohit P. Dalwadi, Yanming Wang, John R. King & Nigel P. Minton. (2018) Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake. SIAM Journal on Applied Mathematics 78:3, pages 1300-1329.
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Andrea Cancedda. (2016) Spectral homogenization for a Robin–Neumann problem. Bollettino dell'Unione Matematica Italiana 10:2, pages 199-222.
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Mariya Ptashnyk. (2016) Multiscale Modelling and Analysis of Signalling Processes in Tissues with Non-Periodic Distribution of Cells. Vietnam Journal of Mathematics 45:1-2, pages 295-316.
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José M. Arrieta & Manuel Villanueva-Pesqueira. (2016) Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary. SIAM Journal on Mathematical Analysis 48:3, pages 1634-1671.
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Mariya Ptashnyk. (2015) Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures. Multiscale Modeling & Simulation 13:3, pages 1061-1105.
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A. Abdulle & O. Budáč. (2015) An Adaptive Finite Element Heterogeneous Multiscale Method for Stokes Flow in Porous Media. Multiscale Modeling & Simulation 13:1, pages 256-290.
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A. MUNTEAN & T. L. VAN NOORDEN. (2013) Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity. European Journal of Applied Mathematics 24:5, pages 657-677.
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Mariya Ptashnyk. (2013) Two-Scale Convergence for Locally Periodic Microstructures and Homogenization of Plywood Structures. Multiscale Modeling & Simulation 11:1, pages 92-117.
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T. L. VAN NOORDEN & A. MUNTEAN. (2011) Homogenisation of a locally periodic medium with areas of low and high diffusivity. European Journal of Applied Mathematics 22:5, pages 493-516.
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Tasnim Fatima, Nasrin Arab, Evgeny P. Zemskov & Adrian Muntean. (2010) Homogenization of a reaction–diffusion system modeling sulfate corrosion of concrete in locally periodic perforated domains. Journal of Engineering Mathematics 69:2-3, pages 261-276.
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Gabriel Nguetseng. (2004) Homogenization in perforated domains beyond the periodic setting. Journal of Mathematical Analysis and Applications 289:2, pages 608-628.
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Александр Григорьевич Беляев, Aleksandr Grigor'evich Belyaev, Андрей Львович Пятницкий, Andrey Lvovich Piatnitski, Григорий Александрович Чечкин & Gregory Aleksandrovich Chechkin. (2001) Усреднение в перфорированной области с осциллирующим третьим краевым условиемAveraging in a perforated domain with an oscillating third boundary condition. Математический сборник Matematicheskii Sbornik 192:7, pages 3-20.
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