Derivation of a hydrodynamic system hierarchy for semiconductors from the Boltzmann equation

DOI10.1016/0893-9659(91)90127-HzbMath0733.35102OpenAlexW1965526271MaRDI QIDQ810312

Frederic Poupaud

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0893-9659(91)90127-h

zbMATH Keywords

transportBoltzmann equationsemiconductorhierarchy of hyperbolic systems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Theoretical approximation in context of PDEs (35A35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (14)

Quantum hydrodynamic for semiconductors in the high-field case ⋮ Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation ⋮ A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations ⋮ High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor ⋮ Large-time behavior of entropy solutions to bipolar hydrodynamic model for semiconductors ⋮ Sharp uniform bounds for steady potential fluid-Poisson systems ⋮ A domain decomposition method for silicon devices ⋮ Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices ⋮ Quantum High-Field Corrections to a Drift-Collision Balance Model of Semiconductor Transport ⋮ LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS ⋮ LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS ⋮ Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode ⋮ Thermodynamic derivation of the hydrodynamical model for charge transport in semiconductors ⋮ Weak solutions to isothermal hydrodynamic model for semiconductor devices

Cites Work

• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory

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