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- W3128772554 abstract "By a pattern we usually mean a spatially nontrivial structure and hence its antonym is spatial homogeneity. Alan Turing found that, in a reaction-diffusion system of two species, different diffusion rates can destabilize a spatially uniform state, leading to spontaneous formation of a pattern. This chapter proposes to generalize the notion of pattern to that of spatially heterogeneous environments and to build a unified theory of spontaneous emergence of patterns against spatially homogeneous or heterogeneous backgrounds." @default.
- W3128772554 created "2021-02-15" @default.
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- W3128772554 date "2021-01-01" @default.
- W3128772554 modified "2023-09-26" @default.
- W3128772554 title "Patterns Versus Spatial Heterogeneity—From a Variational Viewpoint" @default.
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- W3128772554 doi "https://doi.org/10.1007/978-981-15-8373-5_9" @default.
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