Vanishing viscosity limit for Riemann solutions to a class of non-strictly hyperbolic systems. (English) Zbl 1395.35145
Summary: By the vanishing viscosity approach, a class of non-strictly hyperbolic systems of conservation laws that contain the equations of geometrical optics as a prototype are studied. The existence, uniqueness and stability of solutions involving delta shock waves and generalized vacuum states are discussed completely.
MSC:
| 35L65 | Hyperbolic conservation laws |
| 35L67 | Shocks and singularities for hyperbolic equations |
| 78A05 | Geometric optics |
| 35B25 | Singular perturbations in context of PDEs |
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