A blow up result for viscoelastic equations with arbitrary positive initial energy
<p>Abstract</p> <p>In this paper, we consider the following viscoelastic equations</p> <p><display-formula><graphic file="1687-2770-2011-6-i1.gif"/></display-formula></p> <p>with initial condition and zero Dirichlet boundary condi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/1/6 |
| _version_ | 1818067227063091200 |
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| author | Ma Jie Mu Chunlai Zeng Rong |
| author_facet | Ma Jie Mu Chunlai Zeng Rong |
| author_sort | Ma Jie |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, we consider the following viscoelastic equations</p> <p><display-formula><graphic file="1687-2770-2011-6-i1.gif"/></display-formula></p> <p>with initial condition and zero Dirichlet boundary condition. Using the concavity method, we obtained sufficient conditions on the initial data with arbitrarily high energy such that the solution blows up in finite time.</p> |
| first_indexed | 2024-12-10T15:20:19Z |
| format | Article |
| id | doaj.art-4a352758f239467d93443911874b5b78 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-10T15:20:19Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-4a352758f239467d93443911874b5b782022-12-22T01:43:41ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-01201116A blow up result for viscoelastic equations with arbitrary positive initial energyMa JieMu ChunlaiZeng Rong<p>Abstract</p> <p>In this paper, we consider the following viscoelastic equations</p> <p><display-formula><graphic file="1687-2770-2011-6-i1.gif"/></display-formula></p> <p>with initial condition and zero Dirichlet boundary condition. Using the concavity method, we obtained sufficient conditions on the initial data with arbitrarily high energy such that the solution blows up in finite time.</p>http://www.boundaryvalueproblems.com/content/2011/1/6viscoelastic equationsblow uppositive initial energy |
| spellingShingle | Ma Jie Mu Chunlai Zeng Rong A blow up result for viscoelastic equations with arbitrary positive initial energy Boundary Value Problems viscoelastic equations blow up positive initial energy |
| title | A blow up result for viscoelastic equations with arbitrary positive initial energy |
| title_full | A blow up result for viscoelastic equations with arbitrary positive initial energy |
| title_fullStr | A blow up result for viscoelastic equations with arbitrary positive initial energy |
| title_full_unstemmed | A blow up result for viscoelastic equations with arbitrary positive initial energy |
| title_short | A blow up result for viscoelastic equations with arbitrary positive initial energy |
| title_sort | blow up result for viscoelastic equations with arbitrary positive initial energy |
| topic | viscoelastic equations blow up positive initial energy |
| url | http://www.boundaryvalueproblems.com/content/2011/1/6 |
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