Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908373722595328 |
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| author | Ikeda, Hideo Kuwamura, Masataka |
| author_facet | Ikeda, Hideo Kuwamura, Masataka |
| contents | Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analytical singular perturbation theory. Moreover, a stability criterion for the stationary solutions is provided by calculating the Evans function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06404 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity Ikeda, Hideo Kuwamura, Masataka Analysis of PDEs 35B25, 35B35, 35C20, 35K57, 35P20, 35Q92 Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analytical singular perturbation theory. Moreover, a stability criterion for the stationary solutions is provided by calculating the Evans function. |
| title | Stability of Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity |
| topic | Analysis of PDEs 35B25, 35B35, 35C20, 35K57, 35P20, 35Q92 |
| url | https://arxiv.org/abs/2410.06404 |