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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.12193 |
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| _version_ | 1866918023800029184 |
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| author | Sobah, Koudzo Togbévi Selom d'Almeida, Amah Séna |
| author_facet | Sobah, Koudzo Togbévi Selom d'Almeida, Amah Séna |
| contents | The initial-boundary value problem for the two-dimensional regular four-velocity discrete Boltzmann system is analyzed in a rectangle. The existence and uniqueness of a classical global positive solution, bounded with its first partial derivatives are proved for a range of bounded data by the use of fixed points tools. A bound for the solution and its partial derivatives is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12193 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the existence and uniqueness of classical solution for an initial-boundary value problem for a discrete Boltzmann system in two space dimensions Sobah, Koudzo Togbévi Selom d'Almeida, Amah Séna Analysis of PDEs 76A02, 76M28 The initial-boundary value problem for the two-dimensional regular four-velocity discrete Boltzmann system is analyzed in a rectangle. The existence and uniqueness of a classical global positive solution, bounded with its first partial derivatives are proved for a range of bounded data by the use of fixed points tools. A bound for the solution and its partial derivatives is provided. |
| title | On the existence and uniqueness of classical solution for an initial-boundary value problem for a discrete Boltzmann system in two space dimensions |
| topic | Analysis of PDEs 76A02, 76M28 |
| url | https://arxiv.org/abs/2505.12193 |