Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint

Abstract

Abstract. We study in this paper some numerical schemes for hyperbolic systems with unilateral constraint. In particular, we deal with the scalar case, the isentropic gas dynamics system and the fullgas dynamics system. We prove the convergence of the scheme to an entropy solution of the isentropic gas dynamics with unilateral constraint on the density and mass loss. We also study the non-trivial steady states of the system. Mathematics Subject Classification. 35A35, 35L65, 35L85, 76N15, 76T10.

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