Simplification of Boltzmann Equation on S^{3}(1)
Lang Xia
TL;DR
This paper proposes a simplified form of the Boltzmann equation by utilizing a three-dimensional closed Lie group to make the collision term more manageable.
Contribution
The paper introduces a novel approach to simplify the Boltzmann equation using Lie group theory, providing a more tractable form of the collision term.
Findings
Simplified Boltzmann equation form derived
Collision term complexity reduced
Potential for easier analytical and numerical solutions
Abstract
Simple form of Boltzmann equation will be proposed after introducing a three-dimensional closed Lie group to simplify its collision term.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory