Asymptotic description of Dirac mass formation in kinetic equations for quantum particles

DOI10.1016/j.jde.2004.03.031zbMath1072.35160OpenAlexW1995940115MaRDI QIDQ1881148

Stéphane Mischler, Miguel Escobedo, Juan J. L. Velazquez

Publication date: 4 October 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.031

zbMATH Keywords

steady statekinetic equationsDirac mass formation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Cites Work

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• Non-self-similar behavior in the LSW theory of Ostwald ripening
• On a quantum Boltzmann equation for a gas of photons.
• Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation
• Boltzmann Equation with Infinite Energy: Renormalized Solutions and Distributional Solutions for Small Initial Data and Initial Data Close to a Maxwellian
• Spatial Decay Solutions of the Boltzmann Equation: Converse Properties of Long Time Limiting Behavior
• Équation de Boltzmann quantique homogène: existence et comportement asymptotique
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I

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