| dc.contributor.author | Hur, Vera Mikyoung | |
| dc.contributor.author | Johnson, Mathew A. | |
| dc.date.accessioned | 2016-12-05T18:33:24Z | |
| dc.date.available | 2016-12-05T18:33:24Z | |
| dc.date.issued | 2015-09-17 | |
| dc.identifier.citation | Hur, V. M., & Johnson, M. A. (2015). Stability of periodic traveling waves for nonlinear dispersive equations. SIAM Journal on Mathematical Analysis, 47(5), 3528-3554. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1808/22140 | |
| dc.description.abstract | We study the stability and instability of periodic traveling waves for Korteweg--de Vries-type equations with fractional dispersion and related, nonlinear dispersive equations. We show that a local constrained minimizer for a suitable variational problem is nonlinearly stable to period preserving perturbations, provided that the associated linearized operator enjoys a Jordan block structure. We then discuss when the linearized equation admits solutions exponentially growing in time. | en_US |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.rights | © 2015, Society for Industrial and Applied Mathematics | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Periodic traveling waves | en_US |
| dc.subject | nonlinear dispersive | en_US |
| dc.subject | nonlocal | en_US |
| dc.title | Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations | en_US |
| dc.type | Article | en_US |
| kusw.kuauthor | Johnson, Mathew A. | |
| kusw.kudepartment | Mathematics | en_US |
| dc.identifier.doi | 10.1137/12090215X | en_US |
| kusw.oaversion | Scholarly/refereed, publisher version | en_US |
| kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
| dc.rights.accessrights | openAccess | |
