: Carlo Cercignani, Ester Gabetta
: Transport Phenomena and Kinetic Theory Applications to Gases, Semiconductors, Photons, and Biological Systems
: Birkhäuser Basel
: 9780817645540
: 1
: CHF 139.30
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 271
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning.

 

Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

 

Preface6
Contents10
List of Contributors12
Part I Analytic Aspects of the Boltzmann Equation15
1 Rigorous results for conservation equations and trend to equilibrium in space-inhomogeneous kinetic theory16
2 Results on optimal rate of convergence to equilibrium for spatially homogeneous Maxwellian gases31
3 Nonresonant velocity averaging and the Vlasov Maxwell system50
Part II Modeling Applications, Inverse and Computational Problems in Quantum Kinetic Theory64
4 Multiband quantum transport models for semiconductor devices65
5 Optimization models for semiconductor dopant profiling100
6 Inverse problems for semiconductors: models and methods125
7 Deterministic kinetic solvers for charged particle transport in semiconductor devices158
Part III Miscellaneous Applications in Physics and Natural Sciences179
8 Methods and tools of mathematical kinetic theory towards modelling complex biological systems180
9 Kinetic modelling of late stages of phase separation199
10 Ground states and dynamics of rotating Bose Einstein condensates219
11 Two inverse problems in photon transport theory: evaluation of a time- dependent source and of a time- dependent cross section260