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Solutions for a nonstrictly hyperbolic and genuinely nonlinear system

Solutions for a nonstrictly hyperbolic and genuinely nonlinear system

In this paper, we study the existence of global entropy solutions for the Cauchy problem of an isentropic gas dynamics system with the special pressure P(ρ) = 1 1-ρ .After the gas density ρ is fixed in the region ρ ∈ (0, 1), by the method of the artificial viscosity …