<図書>
Blow-up in quasilinear parabolic equations
責任表示 | by Alexander A. Samarskii ... [et al.] ; translated from the Russian by Michael Grinfeld |
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シリーズ | De Gruyter expositions in mathematics ; v. 19 |
データ種別 | 図書 |
出版情報 | Berlin : Walter de Gruyter , 1995 |
本文言語 | 英語 |
大きさ | xxi, 533 p. ; 25 cm |
概要 | Presents some mathematical aspects of the theory of blow-up phenomena in nonlinear continua, analyzing their distinguishing properties using quasilinear heat equations and certain systems of quasiline...r equations. Based on research from the past 15 years or so at the Russian Academy of Sciences, discusses a number of extraordinary properties of unbounded solutions of many nonlinear boundary problems, the results of numerical experimentation into the spatio-temporal structure of blow-up phenomena, and more common properties and their manifestations in various dissipative media. The results define the main range of questions and the directions of development of blow-up theory; indicate the primary requirements for the theoretical study of unbounded solutions; and demonstrate how to determine the simplest nonlinear models of heat conduction and combustion that exhibit the universal properties of blow-up phenomena. Originally published in Russian by Nauka, Moscow, in 1987. The index is one slender page. Annotation copyright by Book News, Inc., Portland, OR続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6875188 |
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 | SAMA/10/1 | 1995 |
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068222195007323 |
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書誌詳細
別書名 | ローマ字翻字タイトル:Rezhimy s obostreniem v zadachakh dlia kvazilineinykh parabolicheskikh uravnenii |
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一般注記 | Bibliography: p.[506]-533 |
著者標目 | Samarskiĭ, A. A. (Aleksandr Andreevich) |
件 名 | LCSH:Differential equations, Parabolic |
分 類 | LCC:QA372 DC20:515/.353 |
書誌ID | 1000286892 |
ISBN | 3110127547 |
NCID | BA24935285 |
巻冊次 | ISBN:3110127547 |
登録日 | 2009.09.11 |
更新日 | 2009.11.02 |