Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition

TL;DR

This paper investigates the properties of spectral minimal partitions with Neumann boundary conditions on thin cylindrical and annular domains, providing insights into their spectral characteristics and optimal partitioning strategies.

Contribution

It introduces a detailed analysis of Neumann spectral minimal partitions specifically for thin cylindrical and annular domains, a topic with limited prior exploration.

Findings

Characterization of spectral minimal partitions on thin domains

Identification of optimal partition configurations for cylinders and annuli

Insights into the spectral behavior under Neumann conditions

Abstract

We analyze "Neumann" spectral minimal partitions for a thin strip on a cylinder or for the thin annulus.