Asymptotic behaviour of nonlinear wave equations in a noncylindrical domain becoming unbounded
| dc.contributor.author | Aibeche, Aissa | |
| dc.contributor.author | Hadi, Sara | |
| dc.contributor.author | Sengouga, Abdelmouhcene | |
| dc.date.accessioned | 2022-09-19T14:22:30Z | |
| dc.date.available | 2022-09-19T14:22:30Z | |
| dc.date.issued | 2017-11-21 | |
| dc.description.abstract | We study the asymptotic behaviour for the solution of nonlinear wave equations in a noncylindrical domain, becoming unbounded in some directions, as the time t goes to infinity. If the limit of the source term is independent of these directions and t, the wave converges to the solution of an elliptic problem defined on a lower dimensional domain. The rate of convergence depends on the limit behaviour of the source term and on the coefficient of the nonlinear term. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Aibeche, A., Hadi, S., & Sengouga, A. (2017). Asymptotic behaviour of nonlinear wave equations in a noncylindrical domain becoming unbounded. <i>Electronic Journal of Differential Equations, 2017</i>(288), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16149 | |
| 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 equation | |
| dc.subject | Asymptotic behaviour in time | |
| dc.subject | Noncylindrical domains | |
| dc.title | Asymptotic behaviour of nonlinear wave equations in a noncylindrical domain becoming unbounded | |
| dc.type | Article |