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**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 regularization
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\textit{H. Yang}, J. Differ. Equations 159, No. 2, 447--484 (1999; Zbl 0948.35079)

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