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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 10-11: Mathematical Modelling and Numerical Simulation of Flow and Transport in Porous Media
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Original Articles

Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone

G.A. Chechkin Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lemonosov State University, Leninskie Gory, Main Building, Moscow, 119991 Russian Federation; Department of Applied Mathematics, Narvik University College, Postboks 385, Narvik, 8505 NorwayCorrespondence[email protected]
,
T.P. Chechkina Department of Higher Mathematics, Moscow Engineering Physics Institute (State University), Kashirskoe sh., 31, Moscow, 115409 Russian Federation
,
C. D'Apice Departimento di Ingegneria dell'Informazione e, Università degli Studi di Salerno, Via Ponte don Melillo, 1, Fisciano (SA), 84084 Italy
,
U. De Maio Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli Federico II, Complesso Monte S. Angelo, Via Cintia, Napoli, 80126 Italy
&
T.A. Mel'nyk Department of Mathematical Physics, Faculty of Mechanics and Mathematics, National Taras Shevehenko University of Kyiv, Kyiv, 01033 Ukraine
Pages 1543-1562 | Received 08 Jan 2009, Accepted 17 Mar 2009, Published online: 17 Nov 2009

Citations (11)

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Read on this site (2)

Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Vladimir V. Chepyzhov. (2019) Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients. Applicable Analysis 98:1-2, pages 256-271.
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Gregory A. Chechkin & Taras A. Mel'nyk. (2012) Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses. Applicable Analysis 91:6, pages 1055-1095.
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Articles from other publishers (9)

Aleksandra G. Chechkina, Ciro D’Apice & Umberto De Maio. (2020) Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition. Journal of Computational and Applied Mathematics 376, pages 112802.
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Mustapha El Jarroudi. (2019) A mathematical model for turbulent transport through thin randomly oscillating layers surrounding a fixed domain. Physica A: Statistical Mechanics and its Applications 520, pages 178-195.
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Alison McMillan, Rhys Jones, Daren Peng & Gregory A. Chechkin. (2018) A computational study of the influence of surface roughness on material strength. Meccanica 53:9, pages 2411-2436.
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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin, Vladimir V. Chepyzhov & Andrey Yu. Goritsky. (2017) Homogenization of trajectory attractors of 3D Navier--Stokes system with randomly oscillating force. Discrete and Continuous Dynamical Systems 37:5, pages 2375-2393.
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T. P. Chechkina. (2013) Averaging in Cascade Junctions with a “Wide” Transmission Domain. Journal of Mathematical Sciences 190:1, pages 157-169.
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Tat'yana P Chechkina. (2011) Convergence of solutions of a boundary-value problem in a thick cascade junction with oscillating boundary of the transmission zone in the case of Neumann conditions at the boundary. Russian Mathematical Surveys 65:5, pages 982-983.
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Youcef Amirat, Olivier Bodart, Gregory A. Chechkin & Andrey L. Piatnitski. (2011) Boundary homogenization in domains with randomly oscillating boundary. Stochastic Processes and their Applications 121:1, pages 1-23.
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G. A. Chechkin, T. P. Chechkina, C. D’Apice, U. De Maio & T. A. Mel’nyk. (2010) Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction. Russian Journal of Mathematical Physics 17:1, pages 35-55.
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Татьяна Петровна Чечкина & Tat'yana Petrovna Chechkina. (2010) О сходимости решений краевой задачи в густом каскадном соединении с осциллирующей границей трансмиссионной зоны в случае условий Неймана на границеConvergence of solutions of a boundary-value problem in a thick cascade junction with oscillating boundary of the transmission zone in the case of Neumann conditions at the boundary. Успехи математических наук Uspekhi Matematicheskikh Nauk 65:5, pages 195-196.
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