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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

Asymptotic analysis of a thin rigid stratified elastic plate – viscous fluid interaction problem

Irina Malakhova-ZiablovaInstitute Camille Jordan UMR CNRS 5208, University of Lyon, Saint-Etienne, France.View further author information
,
Grigory PanasenkoInstitute Camille Jordan UMR CNRS 5208, University of Lyon, Saint-Etienne, France.Correspondence[email protected]
View further author information
&
Ruxandra StavreSimion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania.View further author information
Pages 1467-1506 | Received 14 Nov 2015, Accepted 15 Nov 2015, Published online: 17 Feb 2016

Citations (9)

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Read on this site (1)

Julia Orlik, Grigory Panasenko & Ruxandra Stavre. (2021) Asymptotic analysis of a viscous fluid layer separated by a thin stiff stratified elastic plate. Applicable Analysis 100:3, pages 589-629.
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Articles from other publishers (8)

Matko Ljulj & Josip Tambača. (2023) 3D structure–2D plate–1D rod interaction problem. Mathematical Methods in the Applied Sciences 46:8, pages 9053-9078.
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Kristina Kaulakytė, Nikolajus Kozulinas, Grigory Panasenko, Konstantinas Pileckas & Vytenis Šumskas. (2023) Poiseuille-Type Approximations for Axisymmetric Flow in a Thin Tube with Thin Stiff Elastic Wall. Mathematics 11:9, pages 2106.
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Ron Efrati & Dan Givoli. (2022) Hybrid 3D-plane finite element modeling for elastodynamics. Finite Elements in Analysis and Design 210, pages 103812.
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Daniel Rabinovich & Dan Givoli. (2022) Elastodynamic 2D-1D coupling using the DtN method. Journal of Computational Physics 448, pages 110722.
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G. P. Panasenko & R. Stavre. (2020) Three Dimensional Asymptotic Analysis of an Axisymmetric Flow in a Thin Tube with Thin Stiff Elastic Wall. Journal of Mathematical Fluid Mechanics 22:2.
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G. P. Panasenko & R. Stavre. (2018) Viscous Fluid–Thin Elastic Plate Interaction: Asymptotic Analysis with Respect to the Rigidity and Density of the Plate. Applied Mathematics & Optimization 81:1, pages 141-194.
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Matko Ljulj & Josip Tambača. (2019) 3D structure–2D plate interaction model. Mathematics and Mechanics of Solids 24:10, pages 3354-3377.
Crossref
Frédéric Chardard, Alexander Elbert & Grigory Panasenko. (2018) Asymptotic Analysis of a Thin Elastic Plate--Viscoelastic Layer Interaction. Multiscale Modeling & Simulation 16:3, pages 1258-1282.
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