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Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗

Author

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  • Jie Yang
  • Sen Ming
  • Wei Han
  • Jiayi Du
  • Maria Alessandra Ragusa

Abstract

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.

Suggested Citation

  • Jie Yang & Sen Ming & Wei Han & Jiayi Du & Maria Alessandra Ragusa, 2022. "Lifespan Estimates of Solutions for a Coupled System of Wave Equations with Damping terms and Negative Mass terms∗," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-16, October.
    • Handle: RePEc:hin:jnddns:8050610
    DOI: 10.1155/2022/8050610
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