Mathematical Fluid Mechanics

Recent Results and Open Questions

  • Jiří Neustupa
  • Patrick Penel

Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Markus Bause, John G. Heywood, Antonín Novotný, Mariarosaria Padula
    Pages 27-45
  3. Catherine Cherfils—Clérouin, Olivier Lafitte, Pierre-Arnaud Raviart
    Pages 47-71
  4. Miloslav Feistauer
    Pages 105-142
  5. Susan Friedlander, Alexander Shnirelman
    Pages 143-172
  6. J. Fürst, M. Janda, K. Kozel
    Pages 173-193
  7. Back Matter
    Pages 267-269

About this book


Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.


Navier-Stokes equation Potential fluid mechanics functional analysis mathematical modeling partial differential equation partial differential equations simulation stability

Editors and affiliations

  • Jiří Neustupa
    • 1
  • Patrick Penel
    • 2
  1. 1.Department of Technical Mathematics, Faculty of Mechanical EngineeringCzech Technical UniversityPraha 2Czech Republic
  2. 2.Département de MathématiquesUniversité de Toulon et du VarLa Garde CedexFrance

Bibliographic information