On the simplicity of the sloshing eigenvalues
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915851232346112 |
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| author | Ghimenti, Marco Micheletti, Anna Maria Pistoia, Angela |
| author_facet | Ghimenti, Marco Micheletti, Anna Maria Pistoia, Angela |
| contents | This paper investigates sloshing problems defined by $-Δu=0$ in $Ω$, with mixed boundary conditions: $\partial_νu=λu$ on $S$, and either $\partial_νu=0$ or $u=0$ on $W$. Here, $Ω$ represents a smooth bounded domain in $\mathbb{R}^n$ with boundary $\partialΩ=S \cup W$. We demonstrate that under small domain perturbations, all resulting eigenvalues are simple. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09857 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the simplicity of the sloshing eigenvalues Ghimenti, Marco Micheletti, Anna Maria Pistoia, Angela Analysis of PDEs This paper investigates sloshing problems defined by $-Δu=0$ in $Ω$, with mixed boundary conditions: $\partial_νu=λu$ on $S$, and either $\partial_νu=0$ or $u=0$ on $W$. Here, $Ω$ represents a smooth bounded domain in $\mathbb{R}^n$ with boundary $\partialΩ=S \cup W$. We demonstrate that under small domain perturbations, all resulting eigenvalues are simple. |
| title | On the simplicity of the sloshing eigenvalues |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.09857 |