完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Lin, T-S | en_US |
dc.contributor.author | Tseluiko, D. | en_US |
dc.contributor.author | Blyth, M. G. | en_US |
dc.contributor.author | Kalliadasis, S. | en_US |
dc.date.accessioned | 2019-04-02T05:58:36Z | - |
dc.date.available | 2019-04-02T05:58:36Z | - |
dc.date.issued | 2018-12-01 | en_US |
dc.identifier.issn | 0893-9659 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/j.aml.2018.06.034 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/148029 | - |
dc.description.abstract | A numerical continuation method is developed to follow time-periodic travelling wave solutions of both local and non-local evolution partial differential equations (PDEs). It is found that the equation for the speed of the moving coordinate can be derived naturally from the governing equations together with a condition that breaks the translational symmetry. The derived system of equations allows one to follow the branch of travelling-wave solutions as well as solutions that are time-periodic in a frame of reference travelling at a constant speed. Finally, we show as an example the bifurcation and stability analysis of single and double-pulse waves in long-wave models of electrified falling films. (C) 2018 Elsevier Ltd. All rights reserved. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Numerical continuation | en_US |
dc.subject | Evolution equation | en_US |
dc.subject | Long-wave model | en_US |
dc.title | Continuation methods for time-periodic travelling-wave solutions to evolution equations | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.aml.2018.06.034 | en_US |
dc.identifier.journal | APPLIED MATHEMATICS LETTERS | en_US |
dc.citation.volume | 86 | en_US |
dc.citation.spage | 291 | en_US |
dc.citation.epage | 297 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000442066500042 | en_US |
dc.citation.woscount | 0 | en_US |
顯示於類別: | 期刊論文 |