A Viscous Fluid Flow through a Thin Channel with Mixed Rigid-Elastic Boundary : Variational and Asymptotic Analysis
Joint Authors
Panasenko, G. P.
Fares, R.
Stavre, R.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-47, 47 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-21
Country of Publication
Egypt
No. of Pages
47
Main Subjects
Abstract EN
We study the nonsteady Stokes flow in a thin tube structure composed by two thin rectangles with lateral elastic boundaries which are connected by a domain with rigid boundaries.
After a variational approach of the problem which gives us existence, uniqueness, regularity results, and some a priori estimates, we construct an asymptotic solution.
The existence of a junction region between the two rectangles imposes to consider, as part of the asymptotic solution, some boundary layer correctors that correspond to this region.
We present and solve the problems for all the terms of the asymptotic expansion.
For two different cases, we describe the order of steps of the algorithm of solving the problem and we construct the main term of the asymptotic expansion.
By means of the a priori estimates, we justify our asymptotic construction, by obtaining a small error between the exact and the asymptotic solutions.
American Psychological Association (APA)
Fares, R.& Panasenko, G. P.& Stavre, R.. 2012. A Viscous Fluid Flow through a Thin Channel with Mixed Rigid-Elastic Boundary : Variational and Asymptotic Analysis. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-47.
https://search.emarefa.net/detail/BIM-449987
Modern Language Association (MLA)
Fares, R.…[et al.]. A Viscous Fluid Flow through a Thin Channel with Mixed Rigid-Elastic Boundary : Variational and Asymptotic Analysis. Abstract and Applied Analysis No. 2012 (2012), pp.1-47.
https://search.emarefa.net/detail/BIM-449987
American Medical Association (AMA)
Fares, R.& Panasenko, G. P.& Stavre, R.. A Viscous Fluid Flow through a Thin Channel with Mixed Rigid-Elastic Boundary : Variational and Asymptotic Analysis. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-47.
https://search.emarefa.net/detail/BIM-449987
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449987