The analysis of gas dynamics equations with initial and boundary conditions and the construction of the corresponding averaged system

Aleksandras  Krylovas; Rima  Kriauzienė

doi:10.15388/LMR.B.2013.09

Articles

Aleksandras Krylovas

Mykolo Romerio universitetas

Rima Kriauzienė

Mykolo Romerio universitetas

Published 2013-12-20

https://doi.org/10.15388/LMR.B.2013.09

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Keywords

gas dynamics
acoustic waves
asymptotical analysis
averaging
hyperbolic systems

How to Cite

Krylovas, A. and Kriauzienė, R. (2013) “The analysis of gas dynamics equations with initial and boundary conditions and the construction of the corresponding averaged system”, Lietuvos matematikos rinkinys, 54(B), pp. 42–47. doi:10.15388/LMR.B.2013.09.

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Abstract

In this paper hyperbolic system of the first order gas dynamics PDE with initial and boundary conditions is studied. The aim of the paper is to construct the averaged system of differential equations in order to find the uniformly valid in a large domain asymptotical solution. The averaged system is a new object of asymptotical analysis.

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