Shinbrot Type Criteria for Energy Conservation of the Compressible Navier-Stokes Equations
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912904404533248 |
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| author | Chen, Ruxuan Zhang, Qi Zhang, Zhikang Zheng, Xiongbo |
| author_facet | Chen, Ruxuan Zhang, Qi Zhang, Zhikang Zheng, Xiongbo |
| contents | We prove that weak solutions to the compressible Navier-Stokes equations satisfy the energy equality under a Shinbrot-type regularity criterion. Our method applies to the fluids with both constant and degenerate viscosity and relies on a novel weak-type commutator estimate. These criterion are strictly weaker than those required in prior works [Arch. Ration. Mech. Anal., 225 (2017)] and [SIAM J. Math. Anal. 52 (2020)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13696 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Shinbrot Type Criteria for Energy Conservation of the Compressible Navier-Stokes Equations Chen, Ruxuan Zhang, Qi Zhang, Zhikang Zheng, Xiongbo Analysis of PDEs We prove that weak solutions to the compressible Navier-Stokes equations satisfy the energy equality under a Shinbrot-type regularity criterion. Our method applies to the fluids with both constant and degenerate viscosity and relies on a novel weak-type commutator estimate. These criterion are strictly weaker than those required in prior works [Arch. Ration. Mech. Anal., 225 (2017)] and [SIAM J. Math. Anal. 52 (2020)]. |
| title | Shinbrot Type Criteria for Energy Conservation of the Compressible Navier-Stokes Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.13696 |