Stability for nonlinear wave motions damped by time-dependent frictions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866913894008619008 |
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| author | Jiao, Zhe Xu, Yong Zhao, Lijing |
| author_facet | Jiao, Zhe Xu, Yong Zhao, Lijing |
| contents | We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any bifurcation and chaos. And it is a sharp condition on the damping coefficient for the solution to converge to some equilibrium. To illustrate our theoretical results, we provide some numerical simulations for dissipative sine-Gordon equation and dissipative Klein-Gordon equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_06312 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stability for nonlinear wave motions damped by time-dependent frictions Jiao, Zhe Xu, Yong Zhao, Lijing Analysis of PDEs 35L70, 35B35 We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any bifurcation and chaos. And it is a sharp condition on the damping coefficient for the solution to converge to some equilibrium. To illustrate our theoretical results, we provide some numerical simulations for dissipative sine-Gordon equation and dissipative Klein-Gordon equation. |
| title | Stability for nonlinear wave motions damped by time-dependent frictions |
| topic | Analysis of PDEs 35L70, 35B35 |
| url | https://arxiv.org/abs/2203.06312 |