By Rémi Sentis
This monograph is devoted to the derivation and research of fluid types happening in plasma physics. It makes a speciality of types related to quasi-neutrality approximation, difficulties relating to laser propagation in a plasma, and coupling plasma waves and electromagnetic waves. utilized mathematicians will discover a stimulating creation to the realm of plasma physics and some open difficulties which are mathematically wealthy. Physicists who will be beaten by means of the abundance of versions and unsure in their underlying assumptions will locate simple mathematical homes of the comparable platforms of partial differential equations. A deliberate moment quantity might be dedicated to kinetic models.
First and greatest, this ebook mathematically derives definite universal fluid types from extra common types. even though a few of these derivations might be popular to physicists, you will need to spotlight the assumptions underlying the derivations and to achieve that a few probably uncomplicated approximations grow to be extra advanced than they give the impression of being. Such approximations are justified utilizing asymptotic research at any place attainable. additionally, effective simulations of multi-dimensional versions require specific statements of the comparable structures of partial differential equations besides acceptable boundary stipulations. a few mathematical houses of those structures are offered which provide tricks to these utilizing numerical tools, even though numerics isn't the basic concentration of the booklet.