On coupling kinetic and Schrödinger equations

DOI10.1016/J.JDE.2018.04.031zbMath1394.82012arXiv1610.04496OpenAlexW2962959721MaRDI QIDQ1753214

Minh-Binh Tran, Avy Soffer

Publication date: 28 May 2018

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

Full work available at URL: https://arxiv.org/abs/1610.04496

zbMATH Keywords

scattering theoryconvergence to equilibriumBose-Einstein condensatequantum Boltzmann equationdefocussing cubic nonlinear Schrödinger equationlow and high temperature quantum kinetics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (8)

A reaction network approach to the theory of acoustic wave turbulence ⋮ Optimal local well-posedness theory for the kinetic wave equation ⋮ On the wave turbulence theory for stratified flows in the ocean ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On the Kinetic Equation in Zakharov's Wave Turbulence Theory for Capillary Waves ⋮ Uniform in time lower bound for solutions to a quantum Boltzmann equation of bosons ⋮ Quantum hydrodynamic approximations to the finite temperature trapped Bose gases ⋮ A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases

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