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<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
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
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所蔵情報



理系図3F 数理独自 SAMA/10/1 1995
068222195007323

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
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

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