On the existence and uniqueness of classical solution for an initial-boundary value problem for a discrete Boltzmann system in two space dimensions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918023800029184 |
|---|---|
| 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 |