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Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Derivation of Equations for Incompressible and Compressible Fluids

    1. Front Matter
      Pages 1-1
    2. Mi-Ho Giga, Arkadz Kirshtein, Chun Liu
      Pages 73-113
  3. Incompressible Fluids

    1. Front Matter
      Pages 115-115
    2. Sylvie Monniaux, Zhongwei Shen
      Pages 207-248
    3. Mikhail V. Korobkov, Konstantin Pileckas, Remigio Russo
      Pages 249-297
    4. Giovanni P. Galdi, Jiří Neustupa
      Pages 341-417
    5. Reinhard Farwig, Hideo Kozono, Hermann Sohr
      Pages 419-459
    6. Hao Jia, Vladimir Šverák, Tai-Peng Tsai
      Pages 461-507
    7. Giovanni P. Galdi, Mads Kyed
      Pages 509-578
    8. Lorenzo Brandolese, Maria E. Schonbek
      Pages 579-645
    9. Thierry Gallay, Yasunori Maekawa
      Pages 687-727
    10. Yasunori Maekawa, Anna Mazzucato
      Pages 781-828
    11. Gregory Seregin, Vladimir Šverák
      Pages 829-867
    12. Hugo Beirão da Veiga, Yoshikazu Giga, Zoran Grujić
      Pages 901-932
    13. Jinkai Li, Edriss S. Titi
      Pages 933-971
    14. Nader Masmoudi
      Pages 973-1005
    15. Jan W. Prüss, Senjo Shimizu
      Pages 1007-1044
    16. Xianpeng Hu, Fang-Hua Lin, Chun Liu
      Pages 1045-1073
    17. Vsevolod Alexeevich Solonnikov, Irina Vladimirovna Denisova
      Pages 1135-1220
    18. Diego Córdoba, Charles Fefferman
      Pages 1329-1349
  4. Compressible Viscous Fluids

    1. Front Matter
      Pages 1351-1351
    2. Song Jiang, Qiangchang Ju
      Pages 1711-1749
    3. Jan Burczak, Yoshihiro Shibata, Wojciech M. Zaja̧czkowski
      Pages 1751-1841
    4. Irina Vladimirovna Denisova, Vsevolod Alexeevich Solonnikov
      Pages 1947-2035
    5. Xiangdi Huang, Zhou Ping Xin
      Pages 2183-2261
    6. PiotrBogusł aw Mucha, Milan Pokorný, Ewelina Zatorska
      Pages 2595-2662

About this book

Introduction

Mathematics has always played a key role for researches in fluid mechanics. The purpose of this handbook is to give an overview of items that are key to handling problems in fluid mechanics. Since the field of fluid mechanics is huge, it is almost impossible to cover many topics. In this handbook, we focus on mathematical analysis on viscous Newtonian fluid. The first part is devoted to mathematical analysis on incompressible fluids while part 2 is devoted to compressible fluids.

Keywords

Compressible Fluids Fourier Analysis Mathematical Analysis Mathematical Theory Navier-Stokes Newtonian Fluids Viscous Fluids

Editors and affiliations

  • Yoshikazu Giga
    • 1
  • Antonín Novotný
    • 2
  1. 1.Graduate School of Mathematical SciencesUniversity of TokyoMeguro-kuJapan
  2. 2.Université de Toulon IMATHToulonFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-13344-7
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-13343-0
  • Online ISBN 978-3-319-13344-7
  • Buy this book on publisher's site