Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities. Based on the existence of pyramidal traveling fronts established by Bu et al., we characterize the pyramidal traveling...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-03-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2025-0079 |
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| author | Liu Yuan-Hao Bu Zhen-Hui Zhang Suobing |
| author_facet | Liu Yuan-Hao Bu Zhen-Hui Zhang Suobing |
| author_sort | Liu Yuan-Hao |
| collection | DOAJ |
| description | This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities. Based on the existence of pyramidal traveling fronts established by Bu et al., we characterize the pyramidal traveling front as a combination of planar fronts on the lateral surfaces and establish some important estimates. Then, we show the asymptotic stability of pyramidal traveling fronts by using the sub-super solution method combined with the comparison principle. |
| format | Article |
| id | doaj-art-92a28c36c4da439c86eaa219486b40ca |
| institution | DOAJ |
| issn | 2191-950X |
| language | English |
| publishDate | 2025-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj-art-92a28c36c4da439c86eaa219486b40ca2025-08-20T03:17:32ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2025-03-01141981101610.1515/anona-2025-0079Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearitiesLiu Yuan-Hao0Bu Zhen-Hui1Zhang Suobing2College of Science, Northwest A&F University, Yangling 712100, ChinaCollege of Science, Northwest A&F University, Yangling 712100, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, ChinaThis article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities. Based on the existence of pyramidal traveling fronts established by Bu et al., we characterize the pyramidal traveling front as a combination of planar fronts on the lateral surfaces and establish some important estimates. Then, we show the asymptotic stability of pyramidal traveling fronts by using the sub-super solution method combined with the comparison principle.https://doi.org/10.1515/anona-2025-0079reaction–diffusion equationstime-periodicmonostable nonlinearityignition nonlinearitystabilitypyramidal traveling fronts35k5735c0735b3535b40 |
| spellingShingle | Liu Yuan-Hao Bu Zhen-Hui Zhang Suobing Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities Advances in Nonlinear Analysis reaction–diffusion equations time-periodic monostable nonlinearity ignition nonlinearity stability pyramidal traveling fronts 35k57 35c07 35b35 35b40 |
| title | Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities |
| title_full | Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities |
| title_fullStr | Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities |
| title_full_unstemmed | Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities |
| title_short | Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities |
| title_sort | stability of pyramidal traveling fronts in time periodic reaction diffusion equations with degenerate monostable and ignition nonlinearities |
| topic | reaction–diffusion equations time-periodic monostable nonlinearity ignition nonlinearity stability pyramidal traveling fronts 35k57 35c07 35b35 35b40 |
| url | https://doi.org/10.1515/anona-2025-0079 |
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