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  • © 2013

Topics in Mathematical Fluid Mechanics

Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli

Authors:

  1. Peter Constantin

    1. Dept. Mathematics, Princeton University, Princeton, USA

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  2. Arnaud Debussche

    1. Antenne de Bretagne, Ecole Normale Supérieure Cachan Antenne de Bretagne, Bruz, France

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  3. Giovanni P. Galdi

    1. Dept. of Mechanical Engineering, University of Pittsburgh, Pittsburgh, USA

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  4. Michael Růžička

    1. Institute for Applied Mathematics, Freiburg University Institute for Applied Mathematics, Freiburg, Germany

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  5. Gregory Seregin

    1. OxPDE, Mathematical Institute, Oxford University OxPDE, Mathematical Institute, Oxford, United Kingdom

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  • The range of theoretical fluid-mechanics problems treated here is unique in its kind
  • The lectures are updated versions of contemporary knowledge in the field
  • It is an outstanding introduction to research on fluids for young scientists

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2073)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    PDF

  2. Complex Fluids and Lagrangian Particles

    • Peter Constantin
    Pages 1-21

  5. Analysis of Generalized Newtonian Fluids

    • Michael Růžička
    Pages 199-238

  7. Back Matter

    Pages 315-316
    PDF
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About this book

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.
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Keywords

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Authors and Affiliations

  • Dept. Mathematics, Princeton University, Princeton, USA

    Peter Constantin

  • Antenne de Bretagne, Ecole Normale Supérieure Cachan Antenne de Bretagne, Bruz, France

    Arnaud Debussche

  • Dept. of Mechanical Engineering, University of Pittsburgh, Pittsburgh, USA

    Giovanni P. Galdi

  • Institute for Applied Mathematics, Freiburg University Institute for Applied Mathematics, Freiburg, Germany

    Michael Růžička

  • OxPDE, Mathematical Institute, Oxford University OxPDE, Mathematical Institute, Oxford, United Kingdom

    Gregory Seregin

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Bibliographic Information

  • Book Title: Topics in Mathematical Fluid Mechanics

  • Book Subtitle: Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli

  • Authors: Peter Constantin, Arnaud Debussche, Giovanni P. Galdi, Michael Růžička, Gregory Seregin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-36297-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2013

  • Softcover ISBN: 978-3-642-36296-5Published: 12 April 2013

  • eBook ISBN: 978-3-642-36297-2Published: 03 April 2013

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IX, 313

  • Topics: Partial Differential Equations, Fluid- and Aerodynamics, Engineering Fluid Dynamics

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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