Ito, Kazufumi

Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method

Electron. J. Differ. Equ. 1996(4), (1996)

Summary

Summary: 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.

Mathematics Subject Classification

35L65

Keywords/Phrases

compensated compactness, conservation laws, entropy

Downloads