Topics in Mathematical Fluid Mechanics

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

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

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

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2073)

Table of contents

About this book

Introduction

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.

Keywords

76-02, 76D05, 35Q30, 35Q35, 76N10, 60H15, 35R60 Fluid-mechanics Partial Differential Equations Stochastic Partial Differential Equations

Authors and affiliations

  • Peter Constantin
    • 1
  • Arnaud Debussche
    • 2
  • Giovanni P. Galdi
    • 3
  • Michael Růžička
    • 4
  • Gregory Seregin
    • 5
  1. 1.Dept. MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Antenne de BretagneEcole Normale Supérieure Cachan Antenne de BretagneBruzFrance
  3. 3.Dept. of Mechanical EngineeringUniversity of PittsburghPittsburghUSA
  4. 4.Institute for Applied MathematicsFreiburg University Institute for Applied MathematicsFreiburgGermany
  5. 5.OxPDE, Mathematical InstituteOxford University OxPDE, Mathematical InstituteOxfordUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-36297-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-36296-5
  • Online ISBN 978-3-642-36297-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book