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<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
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



理系図3F 数理独自 GALA/5/3 2007
023212006007455

書誌詳細

一般注記 Includes bibliographical references and index
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

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