Initial-boundary value problems of the Boltzmann equation at zero temperature

DOI10.1080/00411459708224423zbMath0903.35075OpenAlexW1996841898MaRDI QIDQ4398391

Ch. Dalitz

Publication date: 19 July 1998

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

Full work available at URL: https://doi.org/10.1080/00411459708224423

zbMATH Keywords

existenceuniquenesspositivitydecay to the solutionmotion of holes or electrons in a semiconductorone dimensional linear Boltzmann equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Motion of charged particles (78A35)

Related Items (1)

Half-space problem of the Boltzmann equation for charged particles

Cites Work

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• Elementary solutions of the transport equation and their applications
• Deterministic particle simulations of the Boltzmann transport equation of semiconductors
• An explicitly solvable kinetic model for semiconductors
• Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors
• RUNAWAY PARTICLES FOR A BOLTZMANN-LIKE TRANSPORT EQUATION
• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
• The Child–Langmuir Law for the Boltzmann Equation of Semiconductors
• A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode

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