arXiv:2009.13035 Abstract | arXiv Analytics

arXiv:2009.13035 [math.AP]Abstract References Reviews Resources

Patterns with prescribed numbers of critical points on topological tori

Published 2020-09-28Version 1

We study the existence of critical points of stable stationary solutions to reaction-diffusion problems on topological tori. Stable nonconstant stationary solutions are often called patterns. We construct topological tori and patterns with prescribed numbers of critical points whose locations are explicit.

Comments: 16 pages, 2 figures

Categories: math.AP

Subjects: 35B35, 35K57, 35K58, 35J61, 35P15, 35K15, 35K20, 35B20, 58J05

Keywords: critical points, prescribed numbers, stable nonconstant stationary solutions, stable stationary solutions, reaction-diffusion problems

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