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<図書>
The porous medium equation : mathematical theory

責任表示 Juan Luis Vázquez
シリーズ Oxford mathematical monographs
データ種別 図書
出版情報 Oxford : Clarendon Press
New York : Oxford University Press , 2007
本文言語 英語
大きさ xxii, 624 p. : ill. ; 25 cm
概要 The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it ...ome to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader. 続きを見る

所蔵情報



理系図1F 開架 413.6/V 49 2012
031212014000272


理系図3F 数理独自 VAZQ/10/2 2007
023212006005677

書誌詳細

一般注記 Includes bibliographical references (p. 588-620) and index
著者標目 *Vazquez, J. L. (Juan Luis)
件 名 LCSH:Boundary value problems
分 類 LCC:QA379
DC22:515.35
書誌ID 1001241152
ISBN 9780198569039
NCID BA79257977
巻冊次 ISBN:9780198569039 ; XISBN:0198569033
登録日 2009.09.18
更新日 2014.08.20