Uniqueness and semigroup for the Vlasov equation with elastic-diffusive reflexion boundary conditions.

DOI10.1016/j.aml.2004.06.013zbMath1067.82053OpenAlexW2127828846MaRDI QIDQ1767132

Antoine Mellet, Stéphane Mischler

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.06.013

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary value problems for linear first-order PDEs (35F15)

Related Items (3)

A coupling approach for the convergence to equilibrium for a collisionless gas ⋮ Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval ⋮ GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS

Cites Work

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• Electron transport in semiconductor superlattices
• On The Trace Problem For Solutions Of The Vlasov Equation
• Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; application à l'équation de transport

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