We consider a viscous incompressible flow in an infinite horizontal domain bounded at the bottom by a smooth wall and at the top by a rough wall. The latter is assumed to consist in a plane wall covered with periodically distributed asperities which size depends on a small parameter, and with a fixed height. We assume that the flow is governed by the stationary Stokes equations. Using a boundary layer corrector we derive and analyze a first order asymptotic approximation of the flow. © 2007 Università degli Studi di Ferrara.

Asymptotic Approximation of the Solution of Stokes Equations in a Domain with Highly Oscillating Boundary / Amirat, Y.; Bodart, O.; DE MAIO, Umberto; Gaudiello, A.. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - 53:2(2007), pp. 135-148.

Asymptotic Approximation of the Solution of Stokes Equations in a Domain with Highly Oscillating Boundary

DE MAIO, UMBERTO;A. GAUDIELLO
2007

Abstract

We consider a viscous incompressible flow in an infinite horizontal domain bounded at the bottom by a smooth wall and at the top by a rough wall. The latter is assumed to consist in a plane wall covered with periodically distributed asperities which size depends on a small parameter, and with a fixed height. We assume that the flow is governed by the stationary Stokes equations. Using a boundary layer corrector we derive and analyze a first order asymptotic approximation of the flow. © 2007 Università degli Studi di Ferrara.
2007
Asymptotic Approximation of the Solution of Stokes Equations in a Domain with Highly Oscillating Boundary / Amirat, Y.; Bodart, O.; DE MAIO, Umberto; Gaudiello, A.. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - 53:2(2007), pp. 135-148.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/140104
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