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arXiv · 1912.01872

A construction of patterns with many critical points on topological tori

Putri Zahra Kamalia·Shigeru Sakaguchi
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Abstract

We consider reaction-diffusion equations on closed surfaces in $\mathbb R^3$ having genus $1$. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.

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Putri Zahra Kamalia, Shigeru Sakaguchi. 2019-12-04. A construction of patterns with many critical points on topological tori. https://arxiv.org/abs/1912.01872

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