Ada Pulvirenti
Abstract
This paper studies an initial-boundary value problem for the discrete Boltzmann equation in one dimension of space. For specularly reflective boundary conditions, we prove a global existence theorem when the initial data belong to L 1((−1,1)) and have a finite entropy.
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This paper studies an initial-boundary value problem for the discrete Boltzmann equation in one dimension of space. For specularly reflective boundary conditions, we prove a global existence theorem when the initial data belong to L 1((−1,1)) and have a finite entropy.
Key concepts: Boltzmann equation, Mathematics, Boundary value problem, Initial value problem, Mathematical analysis, Entropy (arrow of time), Boltzmann constant, Dimension (graph theory)