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The partial differential equations that govern scalar and vector
fields are the very language used to model a variety of phenomena
in solid mechanics, fluid flow, acoustics, heat transfer,
electromagnetism and many others. A knowledge of the main equations
and of the methods for analyzing them is therefore essential to
every working physical scientist and engineer. Andrea Prosperetti
draws on many years' research experience to produce a guide to a
wide variety of methods, ranging from classical Fourier-type series
through to the theory of distributions and basic functional
analysis. Theorems are stated precisely and their meaning
explained, though proofs are mostly only sketched, with comments
and examples being given more prominence. The book structure does
not require sequential reading: each chapter is self-contained and
users can fashion their own path through the material. Topics are
first introduced in the context of applications, and later
complemented by a more thorough presentation.
Thanks to high-speed computers and advanced algorithms, the
important field of modelling multiphase flows is an area of rapid
growth. This one-stop account - now in paperback, with corrections
from the first printing - is the ideal way to get to grips with
this topic, which has significant applications in industry and
nature. Each chapter is written by an acknowledged expert and
includes extensive references to current research. All of the
chapters are essentially independent and so the book can be used
for a range of advanced courses and the self-study of specific
topics. No other book covers so many topics related to multiphase
flow, and it will therefore be warmly welcomed by researchers and
graduate students of the subject across engineering, physics, and
applied mathematics.
The partial differential equations that govern scalar and vector
fields are the very language used to model a variety of phenomena
in solid mechanics, fluid flow, acoustics, heat transfer,
electromagnetism and many others. A knowledge of the main equations
and of the methods for analyzing them is therefore essential to
every working physical scientist and engineer. Andrea Prosperetti
draws on many years' research experience to produce a guide to a
wide variety of methods, ranging from classical Fourier-type series
through to the theory of distributions and basic functional
analysis. Theorems are stated precisely and their meaning
explained, though proofs are mostly only sketched, with comments
and examples being given more prominence. The book structure does
not require sequential reading: each chapter is self-contained and
users can fashion their own path through the material. Topics are
first introduced in the context of applications, and later
complemented by a more thorough presentation.
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