The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws

被引：0
作者：
Guodong Wang
Jia-Bao Liu
Lin Zhao
机构：
[1] Anhui Jianzhu University,School of Mathematics and Physics
来源：
Boundary Value Problems | / 2017卷
关键词：
one-dimensional nonlinear wave system; different gamma laws; Riemann problem; perturbed initial data; 35L65; 35J70; 35R35;
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摘要：
The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws is considered. By the properties of wave curves, we observe that this system does not contain the composite wave compared to the barotropic models of gas dynamics with different pressure laws. Under some initial value data, the Riemann solution is constructed. Using the interaction of the elementary waves, we consider the generalized Riemann problem and discover that the Riemann solution is stable for such perturbation of the initial data.
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