Axisymmetric solutions of a two-dimensional nonlinear wave system with a two-constant equation of state
| dc.contributor.author | Wang, Guodong | |
| dc.contributor.author | Hu, Yanbo | |
| dc.contributor.author | Liu, Huayong | |
| dc.date.accessioned | 2022-06-06T15:11:14Z | |
| dc.date.available | 2022-06-06T15:11:14Z | |
| dc.date.issued | 2017-06-28 | |
| dc.description.abstract | We study a special class of Riemann problem with axisymmetry for two-dimensional nonlinear wave equations with the equation of state p = A1ργ1 + A2ργ2, Ai < 0, -3 < yi < -1 (i = 1, 2). The main difficulty lies in that the equations can not be directly reduced to an autonomous system of ordinary differential equations. To solve it, we use the axisymmetry and self-similarity assumptions to reduce the equations to a decoupled system which includes three components of solution. By solving the decoupled system, we obtain the structures of the corresponding solutions and their existence. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, G., Hu, Y., & Liu, H. (2017). Axisymmetric solutions of a two-dimensional nonlinear wave system with a two-constant equation of state. Electronic Journal of Differential Equations, 2017(156), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15849 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear wave system | |
| dc.subject | Generalized Chaplygin gas | |
| dc.subject | Axisymmetry | |
| dc.subject | Decoupled system | |
| dc.title | Axisymmetric solutions of a two-dimensional nonlinear wave system with a two-constant equation of state | |
| dc.type | Article |