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Mathematical Models and Methods for Plasma Physics, Volume 1 - Fluid Models (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R3,682
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Mathematical Models and Methods for Plasma Physics, Volume 1 - Fluid Models (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Modeling and Simulation in Science, Engineering and Technology
Expected to ship within 10 - 15 working days
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This monograph is dedicated to the derivation and analysis of fluid
models occurring in plasma physics. It focuses on models involving
quasi-neutrality approximation, problems related to laser
propagation in a plasma, and coupling plasma waves and
electromagnetic waves. Applied mathematicians will find a
stimulating introduction to the world of plasma physics and a few
open problems that are mathematically rich. Physicists who may be
overwhelmed by the abundance of models and uncertain of their
underlying assumptions will find basic mathematical properties of
the related systems of partial differential equations. A planned
second volume will be devoted to kinetic models. First and
foremost, this book mathematically derives certain common fluid
models from more general models. Although some of these derivations
may be well known to physicists, it is important to highlight the
assumptions underlying the derivations and to realize that some
seemingly simple approximations turn out to be more complicated
than they look. Such approximations are justified using asymptotic
analysis wherever possible. Furthermore, efficient simulations of
multi-dimensional models require precise statements of the related
systems of partial differential equations along with appropriate
boundary conditions. Some mathematical properties of these systems
are presented which offer hints to those using numerical methods,
although numerics is not the primary focus of the book.
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