Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗
The main purpose of this paper is to study the formation of singularity for a coupled system of wave equations with damping terms, negative mass terms, and divergence form nonlinearities. Upper bound lifespan estimates of solutions to the system are obtained by using the iteration method. The result...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/8050610 |
| _version_ | 1797990855941816320 |
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| author | Jie Yang Sen Ming Wei Han Jiayi Du |
| author_facet | Jie Yang Sen Ming Wei Han Jiayi Du |
| author_sort | Jie Yang |
| collection | DOAJ |
| description | The main purpose of this paper is to study the formation of singularity for a coupled system of wave equations with damping terms, negative mass terms, and divergence form nonlinearities. Upper bound lifespan estimates of solutions to the system are obtained by using the iteration method. The results are the same as the corresponding coupled system of the wave equation with power nonlinearities vpand uq. To the best of our knowledge, the results in Theorems 1–5 are new. In addition, the variation trend of the wave is analyzed by using numerical simulation. |
| first_indexed | 2024-04-11T08:43:14Z |
| format | Article |
| id | doaj.art-7c47d4efed664755b768f4d75d87c0c1 |
| institution | Directory Open Access Journal |
| issn | 1607-887X |
| language | English |
| last_indexed | 2024-04-11T08:43:14Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj.art-7c47d4efed664755b768f4d75d87c0c12022-12-22T04:34:07ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/8050610Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗Jie Yang0Sen Ming1Wei Han2Jiayi Du3Data Science And TechnologyDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe main purpose of this paper is to study the formation of singularity for a coupled system of wave equations with damping terms, negative mass terms, and divergence form nonlinearities. Upper bound lifespan estimates of solutions to the system are obtained by using the iteration method. The results are the same as the corresponding coupled system of the wave equation with power nonlinearities vpand uq. To the best of our knowledge, the results in Theorems 1–5 are new. In addition, the variation trend of the wave is analyzed by using numerical simulation.http://dx.doi.org/10.1155/2022/8050610 |
| spellingShingle | Jie Yang Sen Ming Wei Han Jiayi Du Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗ Discrete Dynamics in Nature and Society |
| title | Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗ |
| title_full | Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗ |
| title_fullStr | Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗ |
| title_full_unstemmed | Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗ |
| title_short | Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗ |
| title_sort | lifespan estimates of solutions for a coupled system of wave equations with damping terms and negative mass terms∗ |
| url | http://dx.doi.org/10.1155/2022/8050610 |
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