Asymptotic behaviour of drift velocity with spatial diffusion of electrons

DOI10.1080/00411459508205128zbMath0820.45006OpenAlexW2072121320MaRDI QIDQ4327065

Giovanni Frosali, Cornelis V. M. van der Mee

Publication date: 18 September 1995

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

Full work available at URL: https://doi.org/10.1080/00411459508205128

zbMATH Keywords

Cauchy problemtransport processesHilbert expansionlinear Boltzmann equationasymptotic series expansioncollisions of particles

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Theoretical approximation of solutions to integral equations (45L05)

Related Items (1)

Spectral theorems of voigt type for linear Boltzmann equation with external field

Cites Work

• A perturbation theorem for positive contraction semigroups on \(L^ 1\)-spaces with applications to transport equations and Kolmogorov's differential equations
• A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics
• Conditions for runaway phenomena in the kinetic theory of particle swarms
• RUNAWAY PARTICLES FOR A BOLTZMANN-LIKE TRANSPORT EQUATION
• Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
• Asymptotic Theory of the Boltzmann Equation
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