Nonclassical shock waves of conservation laws: Flux function having two inflection points
| dc.contributor.author | Nghia, Ho Dac | |
| dc.contributor.author | Thanh, Mai Duc | |
| dc.date.accessioned | 2021-07-21T15:32:15Z | |
| dc.date.available | 2021-07-21T15:32:15Z | |
| dc.date.issued | 2006-12-05 | |
| dc.description.abstract | We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a specific entropy at which the system lacks the non-genuine nonlinearity. Corresponding to each inflection point, A nonclassical Riemann solver can be uniquely constructed. Furthermore, two kinetic relations can be used to construct nonclassical Riemann solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Nghia, H. D., & Thanh, M. D. (2006). Nonclassical shock waves of conservation laws: Flux function having two inflection points. <i>Electronic Journal of Differential Equations, 2006</i>(149), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14022 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Conservation law | |
| dc.subject | Non-genuine nonlinearity | |
| dc.subject | Nonclassical solution | |
| dc.subject | Kinetic relation | |
| dc.title | Nonclassical shock waves of conservation laws: Flux function having two inflection points | |
| dc.type | Article |