Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation
We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number (surface tensi...
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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/10.1155/2014/928148 |
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| _version_ | 1849309158967345152 |
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| author | Changming Song Jina Li Ran Gao |
| author_facet | Changming Song Jina Li Ran Gao |
| author_sort | Changming Song |
| collection | DOAJ |
| description | We are concerned with the singularly perturbed Boussinesq-type equation including
the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional
propagation of small amplitude and long capillary-gravity waves on the surface of shallow water
for bond number (surface tension parameter) less than but very close to 1/3. The nonexistence
of global solution to the initial boundary value problem for the singularly perturbed Boussinesq-type
equation is discussed and two examples are given. |
| format | Article |
| id | doaj-art-02c26560e2e2423ea1b50d7943fef94e |
| 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-02c26560e2e2423ea1b50d7943fef94e2025-08-20T03:54:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/928148928148Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type EquationChangming Song0Jina Li1Ran Gao2College of Science, Zhongyuan University of Technology, Zhengzhou 450007, ChinaCollege of Science, Zhongyuan University of Technology, Zhengzhou 450007, ChinaCollege of Science, Zhongyuan University of Technology, Zhengzhou 450007, ChinaWe are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number (surface tension parameter) less than but very close to 1/3. The nonexistence of global solution to the initial boundary value problem for the singularly perturbed Boussinesq-type equation is discussed and two examples are given.http://dx.doi.org/10.1155/2014/928148 |
| spellingShingle | Changming Song Jina Li Ran Gao Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation Journal of Applied Mathematics |
| title | Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order
Boussinesq-Type Equation |
| title_full | Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order
Boussinesq-Type Equation |
| title_fullStr | Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order
Boussinesq-Type Equation |
| title_full_unstemmed | Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order
Boussinesq-Type Equation |
| title_short | Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order
Boussinesq-Type Equation |
| title_sort | nonexistence of global solutions to the initial boundary value problem for the singularly perturbed sixth order boussinesq type equation |
| url | http://dx.doi.org/10.1155/2014/928148 |
| work_keys_str_mv | AT changmingsong nonexistenceofglobalsolutionstotheinitialboundaryvalueproblemforthesingularlyperturbedsixthorderboussinesqtypeequation AT jinali nonexistenceofglobalsolutionstotheinitialboundaryvalueproblemforthesingularlyperturbedsixthorderboussinesqtypeequation AT rangao nonexistenceofglobalsolutionstotheinitialboundaryvalueproblemforthesingularlyperturbedsixthorderboussinesqtypeequation |