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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.08348 |
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| _version_ | 1866908530093588480 |
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| author | Wang, Yanqing Wei, Wei Ye, Yulin |
| author_facet | Wang, Yanqing Wei, Wei Ye, Yulin |
| contents | In this paper, by means of divergence-free condition, we establish an anisotropic energy conservation class enabling one component of velocity in the largest space $L^{3} (0,T; B^{1/3}_{3,\infty})$ for the 3D inviscid incompressible fluids, which extends the celebrated result obtained by Cheskidov, Constantin, Friedlander and Shvydkoy in [15, Nonlinearity 21 (2008)]. For viscous flows, we generalize famous Lions's energy conservation criteria to allow the horizontal components and vertical part of velocity to have different integrability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08348 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On anisotropic energy conservation criteria of incompressible fluids Wang, Yanqing Wei, Wei Ye, Yulin Analysis of PDEs In this paper, by means of divergence-free condition, we establish an anisotropic energy conservation class enabling one component of velocity in the largest space $L^{3} (0,T; B^{1/3}_{3,\infty})$ for the 3D inviscid incompressible fluids, which extends the celebrated result obtained by Cheskidov, Constantin, Friedlander and Shvydkoy in [15, Nonlinearity 21 (2008)]. For viscous flows, we generalize famous Lions's energy conservation criteria to allow the horizontal components and vertical part of velocity to have different integrability. |
| title | On anisotropic energy conservation criteria of incompressible fluids |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.08348 |