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The Linearization Method in Hydrodynamical Stability Theory
 
Front Cover for The Linearization Method in Hydrodynamical Stability Theory
Available Formats:
Softcover ISBN: 978-0-8218-4528-8
Product Code: MMONO/74
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $64.00
Electronic ISBN: 978-1-4704-4488-4
Product Code: MMONO/74.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
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List Price: $120.00
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Front Cover for The Linearization Method in Hydrodynamical Stability Theory
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The Linearization Method in Hydrodynamical Stability Theory
Available Formats:
Softcover ISBN:  978-0-8218-4528-8
Product Code:  MMONO/74
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $64.00
Electronic ISBN:  978-1-4704-4488-4
Product Code:  MMONO/74.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 741989; 170 pp
    MSC: Primary 76; Secondary 35;

    This book presents the theory of the linearization method as applied to the problem of steady-state and periodic motions of continuous media. The author proves infinite-dimensional analogues of Lyapunov's theorems on stability, instability, and conditional stability for a large class of continuous media. In addition, semigroup properties for the linearized Navier-Stokes equations in the case of an incompressible fluid are studied, and coercivity inequalities and completeness of a system of small oscillations are proved.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Estimates of solutions of the linearized Navier-Stokes equations
    • Stability of fluid motion
    • Stability of periodic motions
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Volume: 741989; 170 pp
MSC: Primary 76; Secondary 35;

This book presents the theory of the linearization method as applied to the problem of steady-state and periodic motions of continuous media. The author proves infinite-dimensional analogues of Lyapunov's theorems on stability, instability, and conditional stability for a large class of continuous media. In addition, semigroup properties for the linearized Navier-Stokes equations in the case of an incompressible fluid are studied, and coercivity inequalities and completeness of a system of small oscillations are proved.

  • Chapters
  • Introduction
  • Estimates of solutions of the linearized Navier-Stokes equations
  • Stability of fluid motion
  • Stability of periodic motions
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