The Boltzmann equation with non-isothermal Maxwell boundary conditions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914474233954304 |
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| author | Medina, R |
| author_facet | Medina, R |
| contents | In this paper, we study the Boltzmann equation in a close to the hydrodynamic limit regime, set in bounded spatial domains with non-isothermal Maxwell boundary conditions. We establish the existence, uniqueness, and asymptotic stability of a non-equilibrium steady state under suitable smallness assumption on the temperature fluctuations at the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13572 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Boltzmann equation with non-isothermal Maxwell boundary conditions Medina, R Analysis of PDEs In this paper, we study the Boltzmann equation in a close to the hydrodynamic limit regime, set in bounded spatial domains with non-isothermal Maxwell boundary conditions. We establish the existence, uniqueness, and asymptotic stability of a non-equilibrium steady state under suitable smallness assumption on the temperature fluctuations at the boundary. |
| title | The Boltzmann equation with non-isothermal Maxwell boundary conditions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.13572 |