Electron. J. Diff. Equ., Vol. 2016 (2016), No. 126, pp. 1-16.

Structural stability of solutions to the Riemann problem for a non-strictly hyperbolic system with flux approximation

Meina Sun

We study the Riemann problem for a non-strictly hyperbolic system of conservation laws under the linear approximations of flux functions with three parameters. The approximated system also belongs to the type of triangular systems of conservation laws and this approximation does not change the structure of Riemann solutions to the original system. Furthermore, it is proven that the Riemann solutions to the approximated system converge to the corresponding ones to the original system as the perturbation parameter tends to zero.

Submitted December 9, 2015. Published May 19, 2016.
Math Subject Classifications: 35L65, 35L67, 35B30.
Key Words: Delta shock wave; Riemann problem; non-strictly hyperbolic system; triangular system; flux approximation.

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Meina Sun
School of Mathematics and Statistics Science
Ludong University
Yantai 264025, China
email: smnwhy0350@163.com

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