Transition from hyperbolicity to ellipticity for a p-system with viscosity
| dc.contributor.author | Strani, Marta | |
| dc.date.accessioned | 2021-10-15T16:13:47Z | |
| dc.date.available | 2021-10-15T16:13:47Z | |
| dc.date.issued | 2019-01-28 | |
| dc.description.abstract | In this article we consider a viscous regularization of a p-system with a Van der Waals pressure law, which presents both hyperbolic and elliptic zones. Even if the purely hyperbolic Van der Walls system is strongly ill-posed, we prove that the solutions of the regularized equation exist and experience a transition from ellipticity to hyperbolicity, i.e. solutions issued from initial data in the elliptic zone will enter the hyperbolic zone at some time T>0, and viceversa. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Strani, M. (2019). Transition from hyperbolicity to ellipticity for a p-system with viscosity. <i>Electronic Journal of Differential Equations, 2019</i>(16), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14659 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Phase transitions | |
| dc.subject | Hyperbolic system | |
| dc.subject | Elliptic system | |
| dc.title | Transition from hyperbolicity to ellipticity for a p-system with viscosity | |
| dc.type | Article |