Electron. J. Diff. Equ.,
Vol. 2016 (2016), No. 126, pp. 116.
Structural stability of solutions to the Riemann problem for a
nonstrictly hyperbolic system with flux approximation
Meina Sun
Abstract:
We study the Riemann problem for a nonstrictly 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; nonstrictly 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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