Existence and uniqueness of classical solution to an initial-boundary value problem for the unsteady general planar Broadwell model with four velocities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912417199423488 |
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| author | Sobah, Koudzo Togbévi Selom d'Almeida, Amah Séna |
| author_facet | Sobah, Koudzo Togbévi Selom d'Almeida, Amah Séna |
| contents | We consider the unsteady problem for the general planar Broadwell model with four velocities in a rectangular spatial domain over a finite time interval. We impose a class of non-negative initial and Dirichlet boundary data that are bounded and continuous, along with their first-order partial derivatives. We then prove the existence and uniqueness of a non-negative continuous solution, bounded together with its first-order partial derivatives, to the initial-boundary value problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05658 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence and uniqueness of classical solution to an initial-boundary value problem for the unsteady general planar Broadwell model with four velocities Sobah, Koudzo Togbévi Selom d'Almeida, Amah Séna Analysis of PDEs 76A02, 76M28 We consider the unsteady problem for the general planar Broadwell model with four velocities in a rectangular spatial domain over a finite time interval. We impose a class of non-negative initial and Dirichlet boundary data that are bounded and continuous, along with their first-order partial derivatives. We then prove the existence and uniqueness of a non-negative continuous solution, bounded together with its first-order partial derivatives, to the initial-boundary value problem. |
| title | Existence and uniqueness of classical solution to an initial-boundary value problem for the unsteady general planar Broadwell model with four velocities |
| topic | Analysis of PDEs 76A02, 76M28 |
| url | https://arxiv.org/abs/2506.05658 |