Vanishing viscosity for non-isentropic gas dynamics with interacting shocks. (English) Zbl 1374.35262
Summary: In this paper, we study the vanishing viscosity limit for non-isentropic gas dynamics with interacting shocks. Given any entropy solution of non-isentropic gas dynamics which consists of two different families of shocks interacting at some positive time, we show that such solution is the vanishing viscosity limit of a family of smooth global solutions for a viscous system of conservation law. We remark that, after the interacting time, not only shocks but also contact discontinuity are generated.
MSC:
35L67 | Shocks and singularities for hyperbolic equations |
35B65 | Smoothness and regularity of solutions to PDEs |