Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908450065219584 |
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| author | Yang, Haocheng |
| author_facet | Yang, Haocheng |
| contents | In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and curvature of the interface over time when the fluid below is no denser than the one above. These phenomena, known as Rayleigh-Taylor instability, will be proved for a broad class of regular initial data, including the case of 2D overlapping interface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06517 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave Yang, Haocheng Analysis of PDEs In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and curvature of the interface over time when the fluid below is no denser than the one above. These phenomena, known as Rayleigh-Taylor instability, will be proved for a broad class of regular initial data, including the case of 2D overlapping interface. |
| title | Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.06517 |