Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall | Zendy

Grigory Panasenko | Zendy; Ruxandra Stavre | Zendy

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Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall

Author(s) -

Grigory Panasenko,

Ruxandra Stavre

Publication year - 2008

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2008.3.651

Subject(s) - rectangle , homogeneous , boundary layer , boundary (topology) , flow (mathematics) , mechanics , mathematical analysis , viscoelasticity , viscous liquid , mathematics , asymptotic analysis , boundary value problem , physics , geometry , statistical physics , thermodynamics

In this paper we continue the study of a fluid-structure interaction problem with the non periodic case. We consider the non stationary flow of a viscous fluid in a thin rectangle with an elastic membrane as the upper part of the boundary. The physical problem which corresponds to non homogeneous boundary conditions is stated. By using a boundary layer method, an asymptotic solution is proposed. The properties of the boundary layer functions are established and an error estimate is obtained.

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