<図書>
Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics
責任表示 | Victor A. Galaktionov, Sergei R. Svirshchevskii |
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シリーズ | Chapman & Hall/CRC applied mathematics and nonlinear science series |
データ種別 | 図書 |
出版情報 | Boca Raton, FL : Chapman & Hall/CRC , c2007 |
本文言語 | 英語 |
大きさ | xxx, 498 p. : ill. ; 25 cm |
概要 | Writing for those professionals and students seeking an introduction to the general theory of nonlinear evolution partial differential equations (PDEs) of different orders and types, Galaktionov (math...matics, U. of Bath) and Svirshchevskii (Keldysh Institute of Applied Mathematics) provide the first book-length systematic construction of exact solutions by way of linear invariant subspaces for nonlinear differential operators. They focus on new exact solutions on linear invariant subspaces for nonlinear operators and include applications from fluid mechanics, reaction-diffusion, wave propagation and thin-film theory, and supply a number of open-ended mathematical problems, including moving-mesh methods, blow-up aspects and discrete operators. They also include new examples of nonlinear models along with the standard, including nonlinear dispersion and Harry Dym equations, and offer exact solutions on invariant subspaces from some unharmonious lattices. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | GALA/5/3 | 2007 |
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023212006007455 |
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書誌詳細
一般注記 | Includes bibliographical references and index |
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著者標目 | *Galaktionov, Victor A. Svirshchevskii, Sergei R. |
件 名 | LCSH:Differential equations, Partial -- Numerical solutions
全ての件名で検索
LCSH:Nonlinear theories -- Methodology 全ての件名で検索 LCSH:Invariant subspaces -- Methodology 全ての件名で検索 LCSH:Exact (Philosophy) -- Mathematics 全ての件名で検索 LCSH:Mathematical physics |
分 類 | LCC:QA377 DC22:518/.64 |
書誌ID | 1001242194 |
ISBN | 1584886633 |
NCID | BA79600934 |
巻冊次 | ISBN:1584886633 |
登録日 | 2009.09.18 |
更新日 | 2009.11.02 |