Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918127692939264 |
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| author | Hu, Zhongtian |
| author_facet | Hu, Zhongtian |
| contents | In this work, we concern ourselves with the evolution of a droplet of an ideal fluid in two dimensions, which has nontrivial bulk vorticity and is only subject to the effects of surface tension. We construct initial data with initial domain being a disk and initial velocity being arbitrarily small, such that the vorticity Hessian grows exponentially infinitely in time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11414 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Hu, Zhongtian Analysis of PDEs In this work, we concern ourselves with the evolution of a droplet of an ideal fluid in two dimensions, which has nontrivial bulk vorticity and is only subject to the effects of surface tension. We construct initial data with initial domain being a disk and initial velocity being arbitrarily small, such that the vorticity Hessian grows exponentially infinitely in time. |
| title | Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.11414 |