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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2101.07239 |
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| _version_ | 1866915362479538176 |
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| author | Wheeler, Aric Zumbrun, Kevin |
| author_facet | Wheeler, Aric Zumbrun, Kevin |
| contents | Following the approach pioneered by Eckhaus, Mielke, Schneider, and others for reaction diffusion systems [E, M1, M2, S1, S2, SZJV], we systematically derive formally by multiscale expansion and justify rigorously by Lyapunov-Schmidt reduction amplitude equations describing Turing-type bifurcations of general reaction diffusion convection systems. Notably, our analysis includes also higher-order, nonlocal, and even certain semilinear hyperbolic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_07239 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Convective Turing Bifurcation Wheeler, Aric Zumbrun, Kevin Dynamical Systems Following the approach pioneered by Eckhaus, Mielke, Schneider, and others for reaction diffusion systems [E, M1, M2, S1, S2, SZJV], we systematically derive formally by multiscale expansion and justify rigorously by Lyapunov-Schmidt reduction amplitude equations describing Turing-type bifurcations of general reaction diffusion convection systems. Notably, our analysis includes also higher-order, nonlocal, and even certain semilinear hyperbolic systems. |
| title | Convective Turing Bifurcation |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2101.07239 |