Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 194-206
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I. O. Rasskazov. The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 194-206. http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a13/
@article{ZNSL_2002_285_a13,
author = {I. O. Rasskazov},
title = {The {Riemann} problem for the weakly perturbed $2\times2$ hyperbolic systems},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {194--206},
year = {2002},
volume = {285},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a13/}
}
TY - JOUR
AU - I. O. Rasskazov
TI - The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 194
EP - 206
VL - 285
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a13/
LA - ru
ID - ZNSL_2002_285_a13
ER -
%0 Journal Article
%A I. O. Rasskazov
%T The Riemann problem for the weakly perturbed $2\times2$ hyperbolic systems
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 194-206
%V 285
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a13/
%G ru
%F ZNSL_2002_285_a13
The discontinuous initial value problem for a hyperbolic system of two quasilinear equations with small perturbation is considered. The asymptotics on a small parameter of an discontinuous solution is investigated. The full asymptotic expansions are constructed, when the solution of a nonperturbed problem contains two shock waves.
