Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model
A nonlinear equation, which contains nonlocal dispersion term and high order advection term, is investigated. The L2(R)uniform bound of its solution is deduced when its initial value lies in L2(R). Utilizing this uniform bound leads to sufficient and necessary conditions to ensure the occurrence of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Results in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037423000195 |
| _version_ | 1797815478074212352 |
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| author | Jin Hong Shaoyong Lai |
| author_facet | Jin Hong Shaoyong Lai |
| author_sort | Jin Hong |
| collection | DOAJ |
| description | A nonlinear equation, which contains nonlocal dispersion term and high order advection term, is investigated. The L2(R)uniform bound of its solution is deduced when its initial value lies in L2(R). Utilizing this uniform bound leads to sufficient and necessary conditions to ensure the occurrence of wave breaking for the solutions. |
| first_indexed | 2024-03-13T08:23:19Z |
| format | Article |
| id | doaj.art-01937e1fc71d464698d5a7e8bfdafd09 |
| institution | Directory Open Access Journal |
| issn | 2590-0374 |
| language | English |
| last_indexed | 2024-03-13T08:23:19Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj.art-01937e1fc71d464698d5a7e8bfdafd092023-05-31T04:47:33ZengElsevierResults in Applied Mathematics2590-03742023-05-0118100373Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham modelJin Hong0Shaoyong Lai1The School of Math. and Statis., Yili Normal University, Yining, 835000, ChinaThe School of Math., Southwestern University of Finance and Economics, Chengdu, 611130, China; Corresponding author.A nonlinear equation, which contains nonlocal dispersion term and high order advection term, is investigated. The L2(R)uniform bound of its solution is deduced when its initial value lies in L2(R). Utilizing this uniform bound leads to sufficient and necessary conditions to ensure the occurrence of wave breaking for the solutions.http://www.sciencedirect.com/science/article/pii/S2590037423000195Blow up structuresAdvection termNonlocal dispersion termNonlinear equation |
| spellingShingle | Jin Hong Shaoyong Lai Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model Results in Applied Mathematics Blow up structures Advection term Nonlocal dispersion term Nonlinear equation |
| title | Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model |
| title_full | Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model |
| title_fullStr | Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model |
| title_full_unstemmed | Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model |
| title_short | Wave breaking phenomenon to a nonlinear equation including the Fornberg–Whitham model |
| title_sort | wave breaking phenomenon to a nonlinear equation including the fornberg whitham model |
| topic | Blow up structures Advection term Nonlocal dispersion term Nonlinear equation |
| url | http://www.sciencedirect.com/science/article/pii/S2590037423000195 |
| work_keys_str_mv | AT jinhong wavebreakingphenomenontoanonlinearequationincludingthefornbergwhithammodel AT shaoyonglai wavebreakingphenomenontoanonlinearequationincludingthefornbergwhithammodel |