Viscous fluid-thin elastic plate interaction: asymptotic analysis with respect to the rigidity and density of the plate

DOI10.1007/s00245-018-9480-2zbMath1431.76101OpenAlexW2791918120WikidataQ130199761 ScholiaQ130199761MaRDI QIDQ2301680

Ruxandra Stavre, Gregory P. Panasenko

Publication date: 25 February 2020

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-018-9480-2

zbMATH Keywords

error estimatesasymptotic analysisStokes equationslimit problemselasticity equationsviscous fluid-elastic layer interaction problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Variational methods applied to problems in fluid mechanics (76M30) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (5)

Three dimensional asymptotic analysis of an axisymmetric flow in a thin tube with thin stiff elastic wall ⋮ A thermal fluid-structure interaction problem: modeling, variational and numerical analysis ⋮ On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition ⋮ Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid-thin structure interaction problems ⋮ Asymptotic analysis of a viscous fluid layer separated by a thin stiff stratified elastic plate

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