Riemann problems for a class of coupled hyperbolic systems of conservation laws. (English) Zbl 0948.35079
The Riemann problem is solved for a family of \(2\times 2\) conservation laws in one space dimension and time. The system has a double linearly degenerate charactistic and constant eigenvector. The Riemann problem solutions have so-called vacuum states and delta-shocks. Such solutions are investigated using the concept of measure-valued solution, and are realized as the limits of scale invariant solutions of the equations augmented by a form of the Dafermos regularization.
Reviewer: M.Shearer (Raleigh)
MSC:
| 35L65 | Hyperbolic conservation laws |
Keywords:
one space dimension; double linearly degenerate charactistic; vacuum states; delta-shocks; measure-valued solution; Dafermos regularizationReferences:
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