Mendeley出力
＜図書＞
Mathematical topics in fluid mechanics
| 責任表示 | Pierre-Louis Lions |
|---|---|
| シリーズ | Oxford lecture series in mathematics and its applications ; 3, 10 |
| データ種別 | 図書 |
| 出版情報 | Oxford : Clarendon Press , 1996-1998 |
| 本文言語 | 英語 |
| 大きさ | 2 v. ; 24 cm |
| 概要 | One of the most challenging topics in applied mathematics is the development of the theory of nonlinear partial different equations. Many problems in mechanics, geometry, and probability lead to such ...quations when formulated in mathematical terms. Yet despite a long history of contributions, no core theory has been formulated. Written by the winner of the 1994 Fields Medal, this outstanding two-volume work helps shed new light on this important topic. Volume 1 emphasizes the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, a profound and self-contained study of both the classical Navier-Stokes equations (including the inhomogeneous case) and the Euler equations is given. Results about the existence and regularity of solutions are presented with complete proofs. The text highlights in particular the use of modern analytical tools and methods, and it indicates many open problems. Mathematical Topics in Fluid Mechanics will be an indispensable reference for every researcher in the field. Its topicality and the clear, concise presentations by the author make it an outstanding contribution to the great theoretical problems concerning mathematical modelling of physical phenomena. This volume and its companion, both written by a winner of the 1994 Fields Medal, provide a unique and rigorous treatise on mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations for which, despite a long history of important mathematical contributions, no complete mathematical understanding is available. This second volume focuses on compressible Navier-Stokes equations. It is probably the first reference covering the issue of global solutions in the large. It includes entirely new material on compactness properties of solutions for the Cauchy problem, the existence and regularity of stationary solutions, and the existence of global weak solutions. Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contribution to one of the most important branches of science, the rigorous mathematical modeling of physical phenomena. 続きを見る |
| 目次 | v. 1. Incompressible models v. 2. Compressible models. |
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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1 : Incompressible models | マスフォアインダストリ 数学テク4 | LION/20/2-1 | 1996 |
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023211996006297 |
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2 : Compressible models | マスフォアインダストリ 数学テク4 | LION/20/2-2 | c1998 |
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023211998001324 |
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v. 1 | 理系図 自動書庫 | 104/LIO | 1996 |
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025211996002718 |
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v. 1 | 理系図 自動書庫 | 41/A/LIO | 1996 |
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025211998000476 |
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v. 2 | 理系図 自動書庫 | 41/A/LIO | 1998 |
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025211998000488 |
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v. 2 | 理系図 自動書庫 | 104/LIO | 1998 |
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025211998004234 |
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v. 2 | 理系図 自動書庫 | 423.8/L 66 | 1998 |
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054212001002988 |
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書誌詳細
| 一般注記 | v. 1. Incompressible models -- v. 2. Compressible models "Oxford science publications" -- cover Includes index |
|---|---|
| 著者標目 | *Lions, P. L. (Pierre-Louis) |
| 件 名 | LCSH:Fluid mechanics |
| 書誌ID | 1000220762 |
| ISBN | 0198514875 |
| NCID | BA2792147X |
| 巻冊次 | v. 1 ; ISBN:0198514875 v. 2 ; ISBN:0198514883 |
| 登録日 | 2009.09.11 |
| 更新日 | 2009.11.02 |