Singular Perturbations of First-Order Hyperbolic Systems

SummaryThis work develops the singular perturbation theory for initial-value problems of nonlinear first-order hyperbolic systems in several space variables. The results can be applied to many physical problems in the kinetic theory, MHD, gas dynamics with relaxation, inviscid reactive flow, traffic flow, river flow, glacier flow, certain chemical exchange processes, the process of sedimentation, and so on. A few results of independent interest are presented to develop the theory.