Geodesic
Asymptotic behavior for the centered-rarefaction appearance problem
Electronic journal of differential equations, Tome 2005 (2005)
We construct a uniform in time asymptotic behavior, describing the interaction of two isothermal shock waves with the same direction of motion. The main result is that any smooth regularization of the problem implies the realization of the stable scenario of interaction. In particular, the rarefaction wave appearance is described.
Classification : 35l65, 35L67
Keywords: gas dynamics, shock wave, rarefaction wave, interaction, weak asymptotic behaviour 
@article{EJDE_2005__2005__a112,
     author = {Flores-Espinoza,  Ruben and Omel'yanov,  Georgii A.},
     title = {Asymptotic behavior for the centered-rarefaction appearance problem},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1087.35062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a112/}
}
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%A Omel'yanov,  Georgii A.
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%J Electronic journal of differential equations
%D 2005
%V 2005
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%F EJDE_2005__2005__a112
Flores-Espinoza,  Ruben; Omel'yanov,  Georgii A. Asymptotic behavior for the centered-rarefaction appearance problem. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a112/