English

A construction of patterns with many critical points on topological tori

Analysis of PDEs 2019-12-05 v1

Abstract

We consider reaction-diffusion equations on closed surfaces in R3\mathbb R^3 having genus 11. 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.

Keywords

Cite

@article{arxiv.1912.01872,
  title  = {A construction of patterns with many critical points on topological tori},
  author = {Putri Zahra Kamalia and Shigeru Sakaguchi},
  journal= {arXiv preprint arXiv:1912.01872},
  year   = {2019}
}

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17 pages