International Mathematical Series

Instability in Models Connected with Fluid Flows I

Editors: Bardos, Claude, Fursikov, Andrei V. (Eds.)

  • Utterly authoritative, with papers from world-renowned leaders in the field
  • Includes the very latest theories and results
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About this book

Instability in Models Connected with Fluid Flows I presents chapters from world renowned specialists. The stability of mathematical models simulating physical processes is discussed in topics on control theory, first order linear and nonlinear equations, water waves, free boundary problems, large time asymptotics of solutions, stochastic equations, Euler equations, Navier-Stokes equations, and other PDEs of fluid mechanics.

Fields covered include: controllability and accessibility properties of the Navier- Stokes and Euler systems, nonlinear dynamics of particle-like wavepackets, attractors of nonautonomous Navier-Stokes systems, large amplitude monophase nonlinear geometric optics, existence results for 3D Navier-Stokes equations and smoothness results for 2D Boussinesq equations, instability of incompressible Euler equations, increased stability in the Cauchy problem for elliptic equations.

Contributors include: Andrey Agrachev (Italy-Russia) and Andrey Sarychev (Italy); Maxim Arnold (Russia); Anatoli Babin (USA) and Alexander Figotin (USA); Vladimir Chepyzhov (Russia) and Mark Vishik (Russia); Christophe Cheverry (France); Efim Dinaburg (Russia) and Yakov Sinai (USA-Russia); Francois Golse (France), Alex Mahalov (USA), and Basil Nicolaenko (USA); Victor Isakov (USA)

Table of contents (8 chapters)

  • Solid Controllability in Fluid Dynamics

    Agrachev, Andrey (et al.)

    Pages 1-35

  • Analyticity of Periodic Solutions of the 2D Boussinesq System

    Arnold, Maxim

    Pages 37-52

  • Nonlinear Dynamics of a System of Particle-Like Wavepackets

    Babin, Anatoli (et al.)

    Pages 53-134

  • Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations

    Chepyzhov, Vladimir (et al.)

    Pages 135-265

  • Recent Results in Large Amplitude Monophase Nonlinear Geometric Optics

    Cheverry, Christophe

    Pages 267-288

Buy this book

eBook n/a
  • ISBN 978-0-387-75217-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-0-387-75216-7
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-1-4419-2586-2
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Instability in Models Connected with Fluid Flows I
Editors
  • Claude Bardos
  • Andrei V. Fursikov
Series Title
International Mathematical Series
Series Volume
6
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-75217-4
DOI
10.1007/978-0-387-75217-4
Hardcover ISBN
978-0-387-75216-7
Softcover ISBN
978-1-4419-2586-2
Series ISSN
1571-5485
Edition Number
1
Number of Pages
XXXVI, 364
Topics