Mathematical Models and Methods for Plasma Physics, Volume 1 by Rmi Sentis
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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Atmospheric and Space Flight Dynamics
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Classical Mechanics with Mathematica (R)
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Ocular Fluid Dynamics
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Frontiers in Computational Fluid-Structure Interaction and Flow Simulation
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Crowd Dynamics, Volume 3
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Parallel Algorithms in Computational Science and Engineering
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Active Particles, Volume 3
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Active Particles, Volume 4
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Methods of Small Parameter in Mathematical Biology
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VLSI Analog Filters
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Bounded Noises in Physics, Biology, and Engineering
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Mathematical and Numerical Foundations of Turbulence Models and Applications
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Active Particles, Volume 2
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Selected Topics in Cancer Modeling
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Soft Solids
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Targeted Cancer Treatment in Silico
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Dynamics On and Of Complex Networks, Volume 2
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Crowd Dynamics, Volume 1
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Mathematics of Climate Modeling
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Transport Phenomena and Kinetic Theory
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Stochastic Approaches to Electron Transport in Micro- and Nanostructures
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Modeling Complex Living Systems
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Cell Movement
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Circuit Simulation with SPICE OPUS
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Generalized Collocation Methods
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Crowd Dynamics, Volume 2
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Geometric Optics
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Active Particles, Volume 1
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Modeling and Computational Methods for Kinetic Equations
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Advances in Computational Fluid-Structure Interaction and Flow Simulation
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Dynamics On and Of Complex Networks
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A Quest Towards a Mathematical Theory of Living Systems
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The Mathematics of Urban Morphology
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Mathematical Modeling and Control in Life and Environmental Sciences
From the book reviews:
“This work is an important bridge between mathematical rigor and practical application, useful for research and simulation experts needing to reevaluate their PDE analyses and assumptions for complex plasma systemsApplied mathematicians will also find this work to be a stimulating introduction to the riches of plasma physics, including the open problems discussed. Summing Up: Recommended. Graduate students through professionals/practitioners.” (T. Eastman, Choice, Vol. 52 (3), November, 2014)| SKU | Unavailable |
| ISBN 13 | 9783319038032 |
| ISBN 10 | 3319038036 |
| Title | Mathematical Models and Methods for Plasma Physics, Volume 1 |
| Author | Rmi Sentis |
| Series | Modeling And Simulation In Science Engineering And Technology |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2014-02-13 |
| Number of pages | 238 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |