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This book encompasses the study of hybrid switching di usion
processes and their applications. The word \hybrid" signi es the
coexistence of c- tinuous dynamics and discrete events, which is
one of the distinct features of the processes under consideration.
Much of the book is concerned with the interactions of the
continuous dynamics and the discrete events. Our motivations for
studying such processes originate from emerging and - isting
applications in wireless communications, signal processing,
queueing networks, production planning, biological systems,
ecosystems, nancial engineering, and modeling, analysis, and
control and optimization of lar- scale systems, under the in uence
of random environments. Displaying mixture distributions, switching
di usions may be described by the associated operators or by
systems of stochastic di erential eq- tions together with the
probability transition laws of the switching actions. We either
have Markov-modulated switching di usions or processes with
continuous state-dependent switching. The latter turns out to be
much more challenging to deal with. Viewing the hybrid di usions as
a number of di usions joined together by the switching process,
they may be se- ingly not much di erent from their di usion
counterpart. Nevertheless, the underlying problems become more di
cult to handle, especially when the switching processes depend on
continuous states. The di culty is due to the interaction of the
discrete and continuous processes and the tangled and hybrid
information pattern.
This book encompasses the study of hybrid switching di usion
processes and their applications. The word \hybrid" signi es the
coexistence of c- tinuous dynamics and discrete events, which is
one of the distinct features of the processes under consideration.
Much of the book is concerned with the interactions of the
continuous dynamics and the discrete events. Our motivations for
studying such processes originate from emerging and - isting
applications in wireless communications, signal processing,
queueing networks, production planning, biological systems,
ecosystems, nancial engineering, and modeling, analysis, and
control and optimization of lar- scale systems, under the in uence
of random environments. Displaying mixture distributions, switching
di usions may be described by the associated operators or by
systems of stochastic di erential eq- tions together with the
probability transition laws of the switching actions. We either
have Markov-modulated switching di usions or processes with
continuous state-dependent switching. The latter turns out to be
much more challenging to deal with. Viewing the hybrid di usions as
a number of di usions joined together by the switching process,
they may be se- ingly not much di erent from their di usion
counterpart. Nevertheless, the underlying problems become more di
cult to handle, especially when the switching processes depend on
continuous states. The di culty is due to the interaction of the
discrete and continuous processes and the tangled and hybrid
information pattern.
Understand multiphase flows using multidisciplinary knowledge in
physical principles, modelling theories, and engineering practices.
This essential text methodically introduces the important concepts,
governing mechanisms, and state-of-the-art theories, using numerous
real-world applications, examples, and problems. Covers all major
types of multiphase flows, including gas-solid, gas-liquid (sprays
or bubbling), liquid-solid, and gas-solid-liquid flows. Introduces
the volume-time-averaged transport theorems and associated
Lagrangian-trajectory modelling and Eulerian-Eulerian multi-fluid
modelling. Explains typical computational techniques, measurement
methods and four representative subjects of multiphase flow
systems. Suitable as a reference for engineering students,
researchers, and practitioners, this text explores and applies
fundamental theories to the analysis of system performance using a
case-based approach.
Gas-solid flows are involved in numerous industrial processes and
occur in various natural phenomena. This authoritative book
addresses the fundamental principles that govern gas-solid flows
and the application of these principles to various gas-solid flow
systems. The book is arranged in two parts: Part I deals with basic
relationships and phenomena, including particle size and
properties, collision mechanics, momentum transfer, heat and mass
transfer, basic equations, and intrinsic phenomena in gas-solid
flows. Part II discusses gas-solid flow systems of industrial
interest such as gas-solid separators, hoppers and standpipes,
dense-phase fluidized beds, fluidized beds, pneumatic conveying
systems, and heat and mass transfer in fluidization systems. As a
comprehensive text on gas-solid flows, which includes
end-of-chapter problems, this book is aimed at students, but will
also be useful to a broad range of engineers and applied
scientists. Solutions manual available.
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