A single GENERIC formulation covers inhomogeneous Boltzmann and kinetic wave equations in multiple physical settings, with grazing limits producing Landau equations that remain inside the same framework.
THE RELATIVISTIC KINETIC EQUATION
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A variational principle selects the energy-conserving homogeneous Boltzmann equation, derives it from Kac's walk, and proves propagation of entropic chaoticity under minimal initial assumptions.
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Unified Formulation and Asymptotic Limits of Inhomogeneous Kinetic Models within GENERIC
A single GENERIC formulation covers inhomogeneous Boltzmann and kinetic wave equations in multiple physical settings, with grazing limits producing Landau equations that remain inside the same framework.
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Variational derivation of the homogeneous Boltzmann equation
A variational principle selects the energy-conserving homogeneous Boltzmann equation, derives it from Kac's walk, and proves propagation of entropic chaoticity under minimal initial assumptions.