دانلود کتاب Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models

This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics Generalized kinetic models; mathematical background - measure, integration, topology; models of population dynamics with stochastic interactions; generalized kinetic models for coagulation and fragmentation; kinetic cellular models in the immune system competition; kinetic models for the evolution of antigens generalized shape; the Boltzmann model; generalized kinetic models for traffic flow; dissipative kinetic models for disparate mixtures; research perspectives