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On the Existence and Uniqueness of Classical Solution for an Initial-boundary Value Problem for a Discrete Boltzmann System in Two Space Dimensions

Year: 2025

Type: article

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 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.

Source: Advances in Mathematics Scientific Journal

DOI: 10.37418/amsj.14.1.5

Authors: K.T.S. Sobah, A.S. d’Almeida

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4407347189

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