Open AccessThe analysis of gas dynamics equations with initial and boundary conditions and the construction of the corresponding averaged system
Author(s) -
Aleksandras Krylovas,
Rima Kriauzienė
Publication year - 2013
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2013.09
Subject(s) - mathematics , domain (mathematical analysis) , partial differential equation , dynamics (music) , boundary value problem , mathematical analysis , boundary (topology) , gas dynamics , order (exchange) , differential equation , hyperbolic partial differential equation , mechanics , physics , finance , acoustics , economics
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.