Non Maxwellian long-time asymptotics for Homoenergetic Boltzmann flows under strong shear
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2026
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| _version_ | 1866913165971816448 |
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| author | Nota, Alessia Velázquez, Juan J. L. |
| author_facet | Nota, Alessia Velázquez, Juan J. L. |
| contents | We compute, using matched asymptotic expansions, the long-time asymptotics of homoenergetic solutions to the nonlinear Boltzmann equation, in presence of a shear term, in the hyperbolic dominated regime, for homogeneous collision kernels for which there are infinitely many collisions as $τ\to \infty$. The mass of the resulting solutions is concentrated in an increasing family of dyadic scales, something that makes the behaviour of these solutions very different from classical Maxwellian distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27695 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non Maxwellian long-time asymptotics for Homoenergetic Boltzmann flows under strong shear Nota, Alessia Velázquez, Juan J. L. Analysis of PDEs Mathematical Physics We compute, using matched asymptotic expansions, the long-time asymptotics of homoenergetic solutions to the nonlinear Boltzmann equation, in presence of a shear term, in the hyperbolic dominated regime, for homogeneous collision kernels for which there are infinitely many collisions as $τ\to \infty$. The mass of the resulting solutions is concentrated in an increasing family of dyadic scales, something that makes the behaviour of these solutions very different from classical Maxwellian distributions. |
| title | Non Maxwellian long-time asymptotics for Homoenergetic Boltzmann flows under strong shear |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2605.27695 |