CONSERVATIVE AND NON-CONSERVATIVE BOLTZMANN-TYPE MODELS OF SEMICONDUCTOR THEORY

DOI10.1142/S0218202506001595zbMath1139.47312OpenAlexW2059260214WikidataQ70722266 ScholiaQ70722266MaRDI QIDQ5487857

Fidèle L. Ciake Ciake, Luisa Arlotti, Jacek Banasiak

Publication date: 12 September 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202506001595

zbMATH Keywords

substochastic semigroupslinear Boltzmann equationinelastic collisionssemiconductor theory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of semiconductors (82D37) Applications of operator theory to differential and integral equations (47N20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items

New generation theorems in transport theory, On the honesty in nonlocal and discrete fragmentation dynamics in size and random position, THE VISCOUS MODEL OF QUANTUM HYDRODYNAMICS IN SEVERAL DIMENSIONS, Conservativeness in nonlocal fragmentation models, Kinetic‐Type Models With Diffusion: Conservative And Nonconservative Solutions, Spectral analysis of non-compact symmetrizable operators on Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• A perturbation theorem for positive contraction semigroups on \(L^ 1\)-spaces with applications to transport equations and Kolmogorov's differential equations
• The Cauchy problem for the linear Maxwell-Boltzmann equation
• Abstract time-dependent transport equations
• On the application of substochastic semigroup theory to fragmentation models with mass loss.
• Gelation and mass conservation in coagulation-fragmentation models.
• Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss
• On Well-Posedness of a Boltzmann-Like Semiconductor Model
• Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors
• The Drift–Diffusion Limit for Electron–Phonon Interaction in Semiconductors
• Space Homogeneous Solutions to the Cauchy Problem for Semiconductor Boltzmann Equations
• INTERPLAY OF ELASTIC AND INELASTIC SCATTERING OPERATORS IN EXTENDED KINETIC MODELS AND THEIR HYDRODYNAMIC LIMITS: REFERENCE MANUAL
• RELAXATION TIME APPROXIMATION FOR ELECTRON-PHONON INTERACTION IN SEMICONDUCTORS
• CONSERVATIVE AND SHATTERING SOLUTIONS FOR SOME CLASSES OF FRAGMENTATION MODELS
• Space homogeneous solutions of the linear semiconductor Boltzmann equation