Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 409, Issue 1, Pages 347-361Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2013.07.018
Keywords
Stability; Delta wave; Chaplygin gas; Riemann problem; Wave interaction
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Funding
- NSFC [11126181, 11171340, 11201467]
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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 epsilon 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. (C) 2013 Elsevier Inc. All rights reserved.
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