On the Cauchy problem for a quantum kinetic equation linked to the Compton effect

DOI10.1016/J.MCM.2005.09.034zbMath1140.82029OpenAlexW2147133099MaRDI QIDQ2473152

Anne Nouri, Elisa Ferrari

Publication date: 26 February 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.09.034

zbMATH Keywords

quantum kinetic equationCompton effect

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (3)

Global Dynamics and Photon Loss in the Kompaneets Equation ⋮ Global Dynamics of Bose--Einstein Condensation for a Model of the Kompaneets Equation ⋮ On a Boltzmann equation for Compton scattering from non relativistic electrons at low density

Cites Work

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• On a quantum Boltzmann equation for a gas of photons.
• Asymptotic description of Dirac mass formation in kinetic equations for quantum particles
• Regularity results for the blow-up time as a function of the initial data.
• A nonlinear Fokker-Planck equation modelling the approach to thermal equilibrium in a homogeneous plasma
• FULLY DISCRETE ADAPTIVE METHODS FOR A BLOW-UP PROBLEM
• On a Quantum Kinetic Equation Linked to the Compton Effect
• On relativistic kinetic gas theory. III

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