Skip to main content
SpringerLink
Log in
Book cover

Topics in Mathematical Fluid Mechanics

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

  • Book
  • © 2013

Overview

Authors:
  1. Peter Constantin

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Arnaud Debussche

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Giovanni P. Galdi

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Michael Růžička

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  5. Gregory Seregin

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Complex Fluids and Lagrangian Particles

    • Peter Constantin
    Pages 1-21

  3. Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction

    • Arnaud Debussche
    Pages 23-108

  4. Steady-State Navier–Stokes Problem Past a Rotating Body: Geometric-Functional Properties and Related Questions

    • Giovanni P. Galdi
    Pages 109-197

  5. Analysis of Generalized Newtonian Fluids

    • Michael Růžička
    Pages 199-238

  6. Selected Topics of Local Regularity Theory for Navier–Stokes Equations

    • Gregory Seregin
    Pages 239-313

  7. Back Matter

    Pages 315-316
    Download chapter PDF
Back to top

Keywords

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.

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

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

Publish with us

Policies and ethics

Back to top

Search

Navigation