| 书目名称 | Fuchsian Reduction | | 副标题 | Applications to Geom | | 编辑 | Satyanad Kichenassamy | | 视频video | | | 概述 | The applications worked out in Part III may serve as prototypes for use in new applications.Can be used as a textbook in graduate courses.Problems and bibliographic notes are included | | 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 描述 | .Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein‘s equations and cosmology, stellar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for semilinear wave equations, Fuchsian reduction research has grown in response to those problems in pure and applied mathematics where numerical computations fail...This work unfolds systematically in four parts, interweaving theory and applications. The case studies examined in Part III illustrate the impact of reduction techniques, and may serve as prototypes for future new applications. In the same spirit, most chapters include a problem section. Background results and solutions to selected problems close the volume...This book can be used as a text in graduate courses in pure or applied analysis, or as a resource for researchers working with singularities in geometry and mathematical physics.. | | 出版日期 | Textbook 2007 | | 关键词 | Cosmology; EFE; Einstein‘s equation; Relativity; Sobolev space; general relativity; mathematical physics; s | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4637-0 | | isbn_ebook | 978-0-8176-4637-0Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Birkhäuser Boston 2007 |
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发表于 2025-3-21 18:49:35
