On a kinetic equation describing the behavior of a gas interacting mainly with radiation

DOI10.1007/s10955-023-03128-0zbMath1527.76063arXiv2208.04212MaRDI QIDQ6168027

Elena Demattè

Publication date: 8 August 2023

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04212

zbMATH Keywords

convergencewell-posednessBoltzmann equationslow manifoldradiative transfer equationgas-photon systemnonelastic collision

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Waves and radiation in optics and electromagnetic theory (78A40) Boltzmann equations (35Q20)

Cites Work

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• Cooling process for inelastic Boltzmann equations for hard spheres. I: The Cauchy problem
• The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
• The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
• The Boltzmann equation and its applications
• Entropy dissipation and moment production for the Boltzmann equation
• On the spatially homogeneous Boltzmann equation
• Kinetic approach for two-level atoms interacting with monochromatic photons
• The evolution of a gas in a radiation field from a kinetic point of view
• Stationary states of a gas in a radiation field from a kinetic point of view
• LTE and non-LTE solutions in gases interacting with radiation
• On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures
• On the Boltzmann equation. I: Existence
• On the Boltzmann equation. II: The full initial value problem
• A spatially homogeneous Boltzmann equation for elastic, inelastic and coalescing collisions
• Dynamics of Charged Particles and their Radiation Field
• The fluid dynamic limit of the nonlinear boltzmann equation
• Kinetic theory of atoms and photons: An application to the Milne-Chandrasekhar problem

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