Asymptotic analysis of the degenerate Boltzmann-Poisson system for semiconductors

DOI10.1080/00411459608204834zbMath0926.35143OpenAlexW2008045340MaRDI QIDQ4887465

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Publication date: 29 November 1999

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459608204834

zbMATH Keywords

degenerate Boltzmann-Poisson systemkinetic Boltzmann equation with a quadratic collision operator coupled with the Poisson equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Motion of charged particles (78A35)

Related Items (1)

Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models

Cites Work

• Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles
• Weak solutions of the initial value problem for the unmodified non‐linear vlasov equation
• Charge transport in semiconductors with degeneracy effects
• Global weak solutions of Vlasov‐Maxwell systems
• Boundary value problems for the stationary Vlasov-Maxwell system
• Uniform Asymptotic Representation of Solutions of the Basic Semiconductor-Device Equations
• On a System of Nonlinear Boltzmann Equations of Semiconductor Physics

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