The Wigner-Poisson-Fokker-Planck system: global-in-time solution and dispersive effects

DOI10.1016/j.anihpc.2006.07.001zbMath1121.82031arXivmath/0505385OpenAlexW2050095095MaRDI QIDQ2641695

Chiara Manzini, Elidon Dhamo, Anton Arnold

Publication date: 23 August 2007

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505385

zbMATH Keywords

Wigner equationPoisson equationdissipative semigroupFokker-Planck operatordispersive regularizationnonlinear Hartree potential

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

On global solutions to some non-Markovian quantum kinetic models of Fokker-Planck type, Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation, The Wigner(–Poisson)–Fokker–Planck equation with singular potential, THE MODIFIED QUANTUM WIGNER SYSTEM IN WEIGHTED -SPACE, A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach, On a rigorous interpretation of the quantum Schrödinger-Langevin operator in bounded domains with applications, Diffusive corrections to asymptotics of a strong-field quantum transport equation, On the Cauchy problem for Wigner-Poisson-BGK equation in the Wiener algebra, On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions, Global solutions of the mean–field, very high temperature Caldeira–Leggett master equation

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