Математическое моделирование процессов переноса в каналах Василий Попов, Александр Юшканов und Вячес

03.07.2014

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One section is devoted to the theory of Gibbs random fields. This material is essential to many undergraduate and graduate courses. The book can also serve as a reference for scientists using modern probability theory in their research. The long-awaited revision of a classic! This new edition presents a balanced introduction to transport phenomena, which is the foundation of its long-standing success. Topics include mass transport, momentum transport and energy transport, which are presented at three different scales: Jacod Jean, Shiryaev Albert N.

Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied.

The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results.

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Many important random processes are developed in the text through examples. It includes exercises and problems, with solutions provided in the companion volume. Mechanism of charge transport in organic solids has been an issue of intensive interests and debates for over 50 years, not only because of the applications in printing electronics, but also because of the great challenges in understanding the electronic processes in complex systems.

В качестве основного уравнения, описывающего кинетику процессов, использована линеаризованная БГК Бхатнагар, Гросс, Крук модель кинетического уравнения Больцмана, а качестве граничного условия на стенках канала — модель зеркально-диффузного отражения Максвелла.

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