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Discrete velocity Boltzmann equations in the plane: stationary solutions

Abstract : The paper proves existence of stationary mild solutions for normal discrete velocity Boltzmann equations in the plane with no pair of colinear interacting velocities and given ingoing boundary values. An important restriction of all velocities pointing into the same half-space in a previous paper is removed in this paper. A key property is L 1 compactness of integrated collision frequency for a sequence of approximations. This is proven using the Kolmogorov-Riesz theorem, which here replaces the L 1 compactness of velocity averages in the continuous velocity case, not available when the velocities are discrete. .
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03523783
Contributor : Anne Nouri Connect in order to contact the contributor
Submitted on : Wednesday, January 12, 2022 - 8:30:06 PM
Last modification on : Friday, January 14, 2022 - 3:15:35 AM

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ArkerydNouri2021.pdf
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  • HAL Id : hal-03523783, version 1

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Leif Arkeryd, Anne Nouri. Discrete velocity Boltzmann equations in the plane: stationary solutions. 2022. ⟨hal-03523783⟩

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