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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/2101.08360 |
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| _version_ | 1866913914378256384 |
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| author | Wheeler, Aric Zumbrun, Kevin |
| author_facet | Wheeler, Aric Zumbrun, Kevin |
| contents | Following the approach of [E1, M1, M2, S1, S2, SZJV] for reaction diffusion systems, we justify rigorously the Eckhaus stability criterion for stability of convective Turing patterns, as derived formally by complex Ginzburg-Landau approximation [SS, NW, WZ]. Notably, our analysis includes also higher-order, nonlocal, and even certain semilinear hyperbolic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_08360 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Diffusive stability of convective Turing patterns Wheeler, Aric Zumbrun, Kevin Dynamical Systems Following the approach of [E1, M1, M2, S1, S2, SZJV] for reaction diffusion systems, we justify rigorously the Eckhaus stability criterion for stability of convective Turing patterns, as derived formally by complex Ginzburg-Landau approximation [SS, NW, WZ]. Notably, our analysis includes also higher-order, nonlocal, and even certain semilinear hyperbolic systems. |
| title | Diffusive stability of convective Turing patterns |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2101.08360 |