Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
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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 × 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.
CitationIto, K. (1996). Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method. Electronic Journal of Differential Equations, 1996(04), pp. 1-17.
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