Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws
| dc.contributor.author | Mitrovic, Darko | |
| dc.contributor.author | Susic, Jela | |
| dc.date.accessioned | 2021-08-17T14:06:26Z | |
| dc.date.available | 2021-08-17T14:06:26Z | |
| dc.date.issued | 2007-08-22 | |
| dc.description.abstract | From a Hopf equation we develop a recently introduced technique, the weak asymptotic method, for describing the shock wave formation and the interaction processes. Then, this technique is applied to a system of conservation laws arising from pressureless gas dynamics. As an example, we study the shock wave formation process in a two-dimensional scalar conservation laws arising in oil reservoir problems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mitrovic, D., & Susic, J. (2007). Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws. <i>Electronic Journal of Differential Equations, 2007</i>(114), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14329 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Weak asymptotic method | |
| dc.subject | Hopf equation | |
| dc.subject | Shock wave formation | |
| dc.subject | Pressureless gas dynamics | |
| dc.subject | System of conservation laws | |
| dc.subject | Multidimensional shocks | |
| dc.title | Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws | |
| dc.type | Article |