Diffusion limit of a Boltzmann-Poisson system: case of general inflow boundary data profile

Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Entropy in general topology (54C70) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boltzmann equations (35Q20) Comparison principles in context of PDEs (35B51)

Cites Work

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Homogenized diffusion limit of a Vlasov-Poisson-Fokker-Planck model
From Boltzmann equation to spherical harmonics expansion model: diffusion limit and Poisson coupling
Fast diffusion equations: matching large time asymptotics by relative entropy methods
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Hypocoercivity for kinetic equations with linear relaxation terms
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On a boundary layer problem for the nonlinear Boltzmann equation
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Diffusion approximation of nonlinear electron phonon collision mechanisms
Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state
On a hierarchy of macroscopic models for semiconductors
Diffusion Limit of a Semiconductor Boltzmann–Poisson System
HYDRODYNAMIC LIMIT FOR THE VLASOV–POISSON–FOKKER–PLANCK SYSTEM: ANALYSIS OF THE TWO-DIMENSIONAL CASE

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