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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.14671 |
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| _version_ | 1866913006574632960 |
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| author | Bae, Gi-Chan Kim, Chanwoo |
| author_facet | Bae, Gi-Chan Kim, Chanwoo |
| contents | We establish the incompressible low--Mach/high--Reynolds limit for the Boltzmann equation for a broad class of initial data, without recourse to any asymptotic expansion. Exploiting the local Maxwellian manifold and the macro--micro decomposition in a new quasi-linear analysis, we derive quantitative estimates for the purely microscopic fluctuation, as well as bounds for the kinetic vorticity and the entropic fluctuation in terms of the initial data. As a consequence, in two space dimensions, the rescaled velocity and temperature converge to a global solution of the incompressible Euler equations coupled to a transported temperature, within the frameworks of DiPerna--Lions--Majda and Delort. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14671 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantitative Closure Analysis toward Ideal Fluids Bae, Gi-Chan Kim, Chanwoo Analysis of PDEs We establish the incompressible low--Mach/high--Reynolds limit for the Boltzmann equation for a broad class of initial data, without recourse to any asymptotic expansion. Exploiting the local Maxwellian manifold and the macro--micro decomposition in a new quasi-linear analysis, we derive quantitative estimates for the purely microscopic fluctuation, as well as bounds for the kinetic vorticity and the entropic fluctuation in terms of the initial data. As a consequence, in two space dimensions, the rescaled velocity and temperature converge to a global solution of the incompressible Euler equations coupled to a transported temperature, within the frameworks of DiPerna--Lions--Majda and Delort. |
| title | Quantitative Closure Analysis toward Ideal Fluids |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.14671 |