TY - BOOK ID - 77945258 TI - Lecture notes on the mathematical theory of generalized Boltzmann models AU - Bellomo, N AU - Schiavo, Mauro Lo PY - 2000 SN - 9812813330 9789812813336 9810240783 9789810240783 PB - River Edge, NJ World Scientific DB - UniCat KW - Maxwell-Boltzmann distribution law. KW - Kinetic theory of matter KW - Matter, Kinetic theory of KW - Matter KW - Molecular theory KW - Statistical mechanics KW - Boltzmann distribution law KW - Maxwell-Boltzmann density function KW - Maxwell distribution KW - Distribution (Probability theory) KW - Kinetic theory of gases KW - Mathematical models. UR - https://www.unicat.be/uniCat?func=search&query=sysid:77945258 AB - This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions. Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions. ER -