Local-in-time analytic solutions for an inviscid model of superfluidity in 3D
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929551361179648 |
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| author | Jayanti, Pranava Chaitanya |
| author_facet | Jayanti, Pranava Chaitanya |
| contents | We address the existence of solutions for the inviscid version of the Hall-Vinen-Bekharevich-Khalatnikov equations in 3D, a macro-scale model of superfluidity. This system couples the incompressible Euler equations for the normal fluid and superfluid using a nonlinear mutual friction term that acts only at points of non-zero superfluid vorticity. In the first rigorous study of the inviscid HVBK system, we construct a unique local-in-time solution that is analytic in time and space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09404 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local-in-time analytic solutions for an inviscid model of superfluidity in 3D Jayanti, Pranava Chaitanya Analysis of PDEs Fluid Dynamics We address the existence of solutions for the inviscid version of the Hall-Vinen-Bekharevich-Khalatnikov equations in 3D, a macro-scale model of superfluidity. This system couples the incompressible Euler equations for the normal fluid and superfluid using a nonlinear mutual friction term that acts only at points of non-zero superfluid vorticity. In the first rigorous study of the inviscid HVBK system, we construct a unique local-in-time solution that is analytic in time and space. |
| title | Local-in-time analytic solutions for an inviscid model of superfluidity in 3D |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2409.09404 |