Diffusion Limit of a Semiconductor Boltzmann–Poisson System
From MaRDI portal
Publication:5426928
DOI10.1137/050630763zbMath1206.82133OpenAlexW2024807794MaRDI QIDQ5426928
Nader Masmoudi, Mohamed Lazhar Tayeb
Publication date: 16 November 2007
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/050630763
drift-diffusion modelrenormalized solutionentropy dissipationmoment methodkinetic transport equationsvelocity averaging Lemmasemiconductor Boltzmann-Poisson system
Related Items (32)
On massless electron limit for a multispecies kinetic system with external magnetic field ⋮ GUIDING CENTER DRIFT INDUCED BY HOMOGENIZATION ⋮ On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions ⋮ A new commutator method for averaging lemmas ⋮ One-dimensional steady-state Poisson-Nernst-Planck systems for ion channels with multiple ion species ⋮ Homogenized diffusion limit of a Vlasov-Poisson-Fokker-Planck model ⋮ Damping of particles interacting with a vibrating medium ⋮ Homogenization and Hydrodynamic Limit for Fermi-Dirac Statistics Coupled to a Poisson Equation ⋮ The Bloch-Torrey limit of a kinetic transport system ⋮ Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. I: Analysis ⋮ Diffusive Limit of the Vlasov–Poisson–Fokker–Planck Model: Quantitative and Strong Convergence Results ⋮ Large coupling in a FitzHugh-Nagumo neural network: quantitative and strong convergence results ⋮ From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation ⋮ Polarization and relaxation effects induced by two-scale homogenization ⋮ DIFFUSION AND HOMOGENIZATION APPROXIMATION FOR SEMICONDUCTOR BOLTZMANN–POISSON SYSTEM ⋮ Homogenization of a thermo-diffusion system with Smoluchowski interactions ⋮ Diffusion limit of kinetic equations for multiple species charged particles ⋮ Weak turbulence plasma induced by two-scale homogenization ⋮ A note on boundary layer of a nonlinear evolution system with damping and diffusions ⋮ Diffusive limit of a two dimensional kinetic system of partially quantized particles ⋮ On the Diffusion Limit of a Semiconductor Boltzmann–Poisson System Without Micro-Reversible Process ⋮ Global well posedness for a 2D drift–diffusion–Maxwell system ⋮ A Diffusion Limit for the Parabolic Kuramoto--Sakaguchi Equation with Inertia ⋮ \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system ⋮ Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting ⋮ Kinetic theory of chemical reactions on crystal surfaces ⋮ Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state ⋮ Vlasov-Maxwell-Boltzmann diffusive limit ⋮ Analysis of a New Implicit Solver for a Semiconductor Model ⋮ A fast implicit solver for semiconductor models in one space dimension ⋮ Homogenization and diffusion approximation of the Vlasov–Poisson–Fokker–Planck system: A relative entropy approach ⋮ Commutator method for averaging lemmas
This page was built for publication: Diffusion Limit of a Semiconductor Boltzmann–Poisson System