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 full-gas 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.