Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616381 | Journal of Mathematical Analysis and Applications | 2014 | 15 Pages |
Abstract
In this paper, we study the structural stability of solutions to the Riemann problem for one-dimensional isentropic Chaplygin gas. We perturb the Riemann initial data by taking three piecewise constant states and construct the global structure. By letting the perturbed parameter εε tend to zero, we prove that the Riemann solutions are stable under the local small perturbations of the Riemann initial data even when the initial perturbed density depending on the parameter but with no mass concentration limit.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Aifang Qu, Zhen Wang,