书目名称 | Elliptic–Hyperbolic Partial Differential Equations | 副标题 | A Mini-Course in Geo | 编辑 | Thomas H. Otway | 视频video | | 概述 | Studies concrete examples in detail, to illustrate a wide variety of methods.Begins from basic material, introducing mixed-type problems in different applications.Provides a grand view of mixed-type e | 丛书名称 | SpringerBriefs in Mathematics | 图书封面 |  | 描述 | .This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example:. .• The heating of fusion plasmas by electromagnetic waves.• The behaviour of light near a caustic.• Extremal surfaces in the space of special relativity .• The formation of rapids; transonic and multiphase fluid flow .• The dynamics of certain models for elastic structures.• The shape of industrial surfaces such as windshields and airfoils .• Pathologies of traffic flow .• Harmonic fields in extended projective space . .They also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications.. .Elliptic−Hyperbolic Partial Differential Equations. is derived from a mini-course given at the IC | 出版日期 | Book 2015 | 关键词 | Boundary Value Problem; Busemann Equation; Bäcklund Transformation; Elliptic—Hyperbolic Systems; Free Bo | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-19761-6 | isbn_softcover | 978-3-319-19760-9 | isbn_ebook | 978-3-319-19761-6Series ISSN 2191-8198 Series E-ISSN 2191-8201 | issn_series | 2191-8198 | copyright | The Author(s) 2015 |
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