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arXiv · 2603.09857

On the simplicity of the sloshing eigenvalues

Marco Ghimenti·Anna Maria Micheletti·Angela Pistoia
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Abstract

This paper investigates sloshing problems defined by $-\Delta u=0$ in $\Omega$, with mixed boundary conditions: $\partial_{\nu}u=\lambda u$ on $S$, and either $\partial_{\nu}u=0$ or $u=0$ on $W$. Here, $\Omega$ represents a smooth bounded domain in $\mathbb{R}^n$ with boundary $\partial\Omega=S \cup W$. We demonstrate that under small domain perturbations, all resulting eigenvalues are simple.

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Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia. 2026-03-10. On the simplicity of the sloshing eigenvalues. https://arxiv.org/abs/2603.09857

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