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<図書>
Training manual on transport and fluids

責任表示 John C. Neu
シリーズ Graduate studies in mathematics ; v. 109
データ種別 図書
出版者 Providence, R.I. : American Mathematical Society
出版年 c2010
本文言語 英語
大きさ xii, 265 p. ; 27 cm
概要 This introductory text for a one-term advanced undergraduate or beginning graduate course presents models of transport in continuous media and corresponding mathematical techniques. Classical construc...ions of solutions to linear PDEs and related tools are presented in relation to geometric-physical situations. Emphasis is on dimensional analysis and scaling, with the art of scaling reduction introduced in the first chapter. Chapters are ordered to progresses from purely geometric and kinematic concepts to physical concepts, looking at convection and diffusion as the simplest models of transport and then covering local conservation laws, free surface waves, and shallow water theory. Problems and detailed solutions are included. Mathematical prerequisites are fluency in advanced calculus and vector analysis, and acquaintance with PDEs from an introductory undergraduate course. Information on the author is not given. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com) 続きを見る
目次 Part 1. Transport processes, the basic prototypes: Convection
Diffusion
Local conservation laws
Part 2. Superposition: Superposition of point source solutions
Functions
Part 3. Scaling-based reductions in basic fluid mechanics: Ideal fluid mechanics
Free surface waves
Solution of the shallow water equations.
電子版へのリンク

所蔵情報

: hbk 理系図3F 数理独自 NEU,/10/1 2010
023212009006203

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Neu, John C., 1952-
件 名 LCSH:Transport theory -- Mathematical models  全ての件名で検索
LCSH:Fluid mechanics -- Mathematical models  全ての件名で検索
分 類 LCC:QC718.5.T7
DC22:530.13/8
書誌ID 1001409175
ISBN 9780821840832
NCID BB00420663
巻冊次 : hbk ; ISBN:9780821840832
登録日 2009.12.22
更新日 2017.02.18

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