Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866929717425209344 |
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| author | Liu, Cuncai Meng, Fengjuan Zhang, Chang |
| author_facet | Liu, Cuncai Meng, Fengjuan Zhang, Chang |
| contents | In this paper, we consider the semilinear wave equation involving the nonlinear damping term $g(u_t) $ and nonlinearity $f(u)$. The well-posedness of the weak solution satisfying some additional regularity is achieved under the wider ranges of the exponents $g$ and $f$. Moreover, the existence of global attractor and exponential attractor are proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10774 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity Liu, Cuncai Meng, Fengjuan Zhang, Chang Analysis of PDEs Dynamical Systems 35B40, 35L20, 37L30 In this paper, we consider the semilinear wave equation involving the nonlinear damping term $g(u_t) $ and nonlinearity $f(u)$. The well-posedness of the weak solution satisfying some additional regularity is achieved under the wider ranges of the exponents $g$ and $f$. Moreover, the existence of global attractor and exponential attractor are proved. |
| title | Long-term behavior for wave equation with nonlinear damping and super-cubic nonlinearity |
| topic | Analysis of PDEs Dynamical Systems 35B40, 35L20, 37L30 |
| url | https://arxiv.org/abs/2502.10774 |