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Instability in Models Connected with Fluid Flows I

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  • © 2008

Overview

Editors:
  1. Claude Bardos

    1. Laboratoire J.-L. Lions, Université Denis Diderot, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Andrei Fursikov

    1. Institute of Numerical Mathematics RAS, Moscow State University, Russia

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    You can also search for this editor in PubMed   Google Scholar

  • A unique collection of papers of leading specialists presenting the very recent results and advantages in the main directions of stability theory in connection with fluid flows
  • Includes supplementary material: sn.pub/extras

Part of the book series: International Mathematical Series (IMAT, volume 6)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XXXIV
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  2. Solid Controllability in Fluid Dynamics

    • Andrey Agrachev, Andrey Sarychev
    Pages 1-35

  3. Analyticity of Periodic Solutions of the 2D Boussinesq System

    • Maxim Arnold
    Pages 37-52

  4. Nonlinear Dynamics of a System of Particle-Like Wavepackets

    • Anatoli Babin, Alexander Figotin
    Pages 53-134

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

    • Vladimir Chepyzhov, Mark Vishik
    Pages 135-265

  6. Recent Results in Large Amplitude Monophase Nonlinear Geometric Optics

    • Christophe Cheverry
    Pages 267-288

  7. Existence Theorems for the 3D–Navier–Stokes System Having as Initial Conditions Sums of Plane Waves

    • Efim Dinaburg, Yakov Sinai
    Pages 289-300

  8. Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains

    • Francois Golse, Alex Mahalov, Basil Nicolaenko
    Pages 301-338

  9. Increased Stability in the Cauchy Problem for Some Elliptic Equations

    • Victor Isakov
    Pages 339-362

  10. Back Matter

    Pages 363-364
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Keywords

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)

Editors and Affiliations

  • Laboratoire J.-L. Lions, Université Denis Diderot, France

    Claude Bardos

  • Institute of Numerical Mathematics RAS, Moscow State University, Russia

    Andrei Fursikov

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