Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation
We consider the blow-up phenomenon of sixth order nonlinear strongly damped wave equation. By using the concavity method, we prove a finite time blow-up result under assumptions on the nonlinear term and the initial data.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/310297 |
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| _version_ | 1832545489362354176 |
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| author | Huafei Di Yadong Shang |
| author_facet | Huafei Di Yadong Shang |
| author_sort | Huafei Di |
| collection | DOAJ |
| description | We consider the blow-up phenomenon of sixth order nonlinear strongly damped wave equation. By using the concavity method, we prove a finite time blow-up result under assumptions on the nonlinear term and the initial data. |
| format | Article |
| id | doaj-art-21b7c32a7e7a40afa480186cba9af5ff |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-21b7c32a7e7a40afa480186cba9af5ff2025-02-03T07:25:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/310297310297Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave EquationHuafei Di0Yadong Shang1School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaWe consider the blow-up phenomenon of sixth order nonlinear strongly damped wave equation. By using the concavity method, we prove a finite time blow-up result under assumptions on the nonlinear term and the initial data.http://dx.doi.org/10.1155/2014/310297 |
| spellingShingle | Huafei Di Yadong Shang Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation Journal of Applied Mathematics |
| title | Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation |
| title_full | Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation |
| title_fullStr | Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation |
| title_full_unstemmed | Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation |
| title_short | Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation |
| title_sort | blow up of solutions for a class of sixth order nonlinear strongly damped wave equation |
| url | http://dx.doi.org/10.1155/2014/310297 |
| work_keys_str_mv | AT huafeidi blowupofsolutionsforaclassofsixthordernonlinearstronglydampedwaveequation AT yadongshang blowupofsolutionsforaclassofsixthordernonlinearstronglydampedwaveequation |