2012 | OriginalPaper | Buchkapitel
Introduction
verfasst von : Thomas H. Otway
Erschienen in: The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type
Verlag: Springer Berlin Heidelberg
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In the introductory chapters to most plasma physics texts (e.g., [43,45]), an idealized model is presented in which the plasma ion and electron temperatures – rather than being millions of degrees – are set to absolute zero. This is done to reduce the mathematics to its simplest possible form, but even in this case a rigorous description of the plasma is problematic: the classical Dirichlet problem, which is the physically natural boundary value problem in this context, turns out to be ill-posed on typical domains.