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arXiv · 2505.12193

On the existence and uniqueness of classical solution for an initial-boundary value problem for a discrete Boltzmann system in two space dimensions

Koudzo Togbévi Selom Sobah·Amah Séna d'Almeida
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Abstract

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.

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Koudzo Togbévi Selom Sobah, Amah Séna d'Almeida. 2025-05-18. On the existence and uniqueness of classical solution for an initial-boundary value problem for a discrete Boltzmann system in two space dimensions. https://doi.org/10.37418/amsj.14.1.5

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