Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy
Abstract In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial ene...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-11-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-01297-0 |
| _version_ | 1818240574090641408 |
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| author | Jianghao Hao Aiyuan Gao |
| author_facet | Jianghao Hao Aiyuan Gao |
| author_sort | Jianghao Hao |
| collection | DOAJ |
| description | Abstract In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial energy. |
| first_indexed | 2024-12-12T13:15:36Z |
| format | Article |
| id | doaj.art-5db791f016cd462eaa904e8f3b9dfdb7 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-12T13:15:36Z |
| publishDate | 2019-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-5db791f016cd462eaa904e8f3b9dfdb72022-12-22T00:23:25ZengSpringerOpenBoundary Value Problems1687-27702019-11-012019111310.1186/s13661-019-01297-0Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energyJianghao Hao0Aiyuan Gao1School of Mathematical Sciences, Shanxi UniversitySchool of Mathematical Sciences, Shanxi UniversityAbstract In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial energy.http://link.springer.com/article/10.1186/s13661-019-01297-0Generalized Boussinesq equationDampingCauchy problemBlow-upArbitrarily high initial energy |
| spellingShingle | Jianghao Hao Aiyuan Gao Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy Boundary Value Problems Generalized Boussinesq equation Damping Cauchy problem Blow-up Arbitrarily high initial energy |
| title | Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy |
| title_full | Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy |
| title_fullStr | Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy |
| title_full_unstemmed | Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy |
| title_short | Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy |
| title_sort | blow up for the sixth order multidimensional generalized boussinesq equation with arbitrarily high initial energy |
| topic | Generalized Boussinesq equation Damping Cauchy problem Blow-up Arbitrarily high initial energy |
| url | http://link.springer.com/article/10.1186/s13661-019-01297-0 |
| work_keys_str_mv | AT jianghaohao blowupforthesixthordermultidimensionalgeneralizedboussinesqequationwitharbitrarilyhighinitialenergy AT aiyuangao blowupforthesixthordermultidimensionalgeneralizedboussinesqequationwitharbitrarilyhighinitialenergy |