Open AccessThe asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe
Author(s) -
Aleksandras Krylovas,
Rima Kriauzienė
Publication year - 2011
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2011.dl03
Subject(s) - flow (mathematics) , interval (graph theory) , variable (mathematics) , asymptotic analysis , mathematical analysis , mathematics , fluid dynamics , mechanics , physics , combinatorics
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.