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Mathematical topics in fluid mechanics. Vol. 1, Incompressible models

著者: P L Lions
出版: Oxford : Clarendon Press, 1996.
シリーズ: Oxford lecture series in mathematics and its applications, 3
エディション/フォーマット:   book_printbook : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
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Written by the winner of the 1994 Fields Medal, this work sheds lights on a theoretical problem concerning the mathematical modelling of physical phenomena: the existence, uniqueness, and stability  続きを読む

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ドキュメントの種類: 図書
すべての著者/寄与者: P L Lions
ISBN: 0198514875 9780198514879
OCLC No.: 222329207
物理形態: xiv, 237 pages ; 25 cm.
コンテンツ: Preface ; Table of contents ; 1. Presentation of the models ; Part 1: Incompressible Models ; 2. Density-dependent Navier-Stokes equations ; 3. Navier-Stokes equations ; 4. Euler equations and other incompressible models ; Appendix A Truncation of divergence-free vectorfields ; Appendix B Two facts on D1,2(R2) ; Appendix C Compactness in time with values in weak topologies ; Appendix D Weak L1 estimates for solutions of the heat equation ; Appendix E A short proof of the existence of renormalized solutions for parabolic equations ; Intended Table of Contents of Volume 2 ; Part 2: Compressible Models ; 5. Compactness results for compressible isentropic Navier-Stokes ; 6. Stationary problems ; 7. Existence results ; 8. Related questions ; Part 3: Asymptotic limites ; 9. Asymptotic limits
シリーズタイトル: Oxford lecture series in mathematics and its applications, 3
責任者: Pierre-Louis Lions.
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A lot of results are new, and for each of these recent results the complete and self-contained proofs are given...Summarizing the impression of this interesting book, it is worth pointing out that it 続きを読む

 
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