Journal article
The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term
Nonlinear analysis: real world applications, Vol.41, pp.588-606
06/2018
DOI: 10.1016/j.nonrwa.2017.11.013
Abstract
The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a friction term is considered. Unlike the homogeneous case, the Riemann solutions are no longer self-similar due to the influence of the source term. In particular, delta contact discontinuities are found in the Riemann solutions with delta initial data for the Chaplygin gas equations with the source term. Moreover, we discover that the Chaplygin gas equations can be transformed to the equations of string motion in Minkowski space. The delta shock wave can explain the appearance of the singularities developed in the motion of the string.
Details
- Title: Subtitle
- The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term
- Creators
- Lihui Guo - Xinjiang UniversityTong Li - University of IowaLijun Pan - Nanjing University of Aeronautics and AstronauticsXinli Han - Nanjing University of Posts and Telecommunications
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.41, pp.588-606
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.nonrwa.2017.11.013
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Grant note
- DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 11401508, 11761068, 11461066, 11301264; DOI: 10.13039/501100004543, name: China Scholarship Council; DOI: 10.13039/501100010829, name: Scientific Research Program of the Higher Education Institution of Xinjiang, award: XJEDU2014I001; DOI: 10.13039/501100002858, name: China postdoctoral Science Foundation, award: 2013M531343; DOI: 10.13039/501100012226, name: Fundamental Research Funds for the Central Universities, award: NZ2014107; name: Jiangsu Overseas Research & Training Program for University Prominent Young & Middle-aged Teachers and Presidents; DOI: 10.13039/501100004608, name: Natural Science Foundation of Jiangsu Province of China, award: BK20130779
- Language
- English
- Date published
- 06/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984240772002771
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