The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe
Articles
Aleksandras Krylovas
Mykolo Romerio universitetas
Rima Kriauzienė
Mykolo Romerio universitetas
Published 2011-12-15
https://doi.org/10.15388/LMR.2011.dl03
PDF

Keywords

asymptotical analysis
averaging
interaction of waves
resonance
the systems of hyperbolicequations

How to Cite

Krylovas A. and Kriauzienė R. (2011) “The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe”, Lietuvos matematikos rinkinys, 52(proc. LMS), pp. 34–38. doi: 10.15388/LMR.2011.dl03.

Abstract

In this paper the model of the fluid flow in elastic pipe is studied. This model is described by the system of hyperbolic equations. The asymptotic analysis of these equations allows to investigate the conditions of the interaction of waves in the resonance case. The averaged system of integrodifferential equations is constructed to find the uniformly valid asymptotic solution in the long time interval and large interval of the dimensional variable.

 

 

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy

Most read articles by the same author(s)

1 2 > >>