The global existence of L solutions to isentropic Euler equations in general nozzle

In this paper, we study the global L-infinity entropy solutions for the Cauchy problem of the isentropic gas dynamics systemin a general nozzlewith bounded initial date. First, we apply for the flux-approximation technique coupled with the classical viscosity method to obtain the L-infinity estimates of the viscosity solutions. Second, we prove the pointwise convergence of the approximation solutions by using the compactness framework for any adiabatic exponent gamma > 1.