Energy equality of the weak solutions to non-Newtonian fluids equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917453422919680 |
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| author | Feng, Yi Wang, Weihua |
| author_facet | Feng, Yi Wang, Weihua |
| contents | In this paper, we study the problem of energy equality for weak solutions of the 3D incompressible non-Newtonian fluid equations with initial value conditions. We derive new sufficient conditions via Sobolev multiplier spaces that guarantee the validity of the energy equality. Moreover, the aforementioned equations are often associated with the uniqueness problem of weak solutions for non-Newtonian fluids, which, in a certain sense, constitutes the positive counterpart of Onsager's conclusion for non-Newtonian fluids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18406 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy equality of the weak solutions to non-Newtonian fluids equations Feng, Yi Wang, Weihua Analysis of PDEs 76W05, 76B03, 35Q35, 76D05 In this paper, we study the problem of energy equality for weak solutions of the 3D incompressible non-Newtonian fluid equations with initial value conditions. We derive new sufficient conditions via Sobolev multiplier spaces that guarantee the validity of the energy equality. Moreover, the aforementioned equations are often associated with the uniqueness problem of weak solutions for non-Newtonian fluids, which, in a certain sense, constitutes the positive counterpart of Onsager's conclusion for non-Newtonian fluids. |
| title | Energy equality of the weak solutions to non-Newtonian fluids equations |
| topic | Analysis of PDEs 76W05, 76B03, 35Q35, 76D05 |
| url | https://arxiv.org/abs/2409.18406 |