Geodesic
Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method
Electronic journal of differential equations, Tome 1996 (1996) no. 4
In this paper we consider the non-isentropic equations of gas dynamics with the entropy preserved. Equations are formulated so that the problem is reduced into the 2 by 2 system of conservation laws with a forcing term in momentum equation. The method of compensated compactness is then applied to prove the existence of weak solution in the vanishing viscosity method.
Classification : 35L65
Keywords: compensated compactness, conservation laws, entropy 
@article{EJDE_1996__1996_4_a0,
     author = {Ito,  Kazufumi},
     title = {Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method},
     journal = {Electronic journal of differential equations},
     year = {1996},
     volume = {1996},
     number = {4},
     zbl = {0849.35071},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1996__1996_4_a0/}
}
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Ito,  Kazufumi. Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method. Electronic journal of differential equations, Tome 1996 (1996) no. 4. http://geodesic.mathdoc.fr/item/EJDE_1996__1996_4_a0/