The linearization method in hydrodynamical stability theory

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 continu...

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Detalles Bibliográficos
Autores principales: Yudovich, V I, Schulenberger, J R
Lenguaje:eng
Publicado: American Mathematical Society 1989
Materias:
Other Fields of Physics
Acceso en línea:http://cds.cern.ch/record/2318096
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author Yudovich, V I
Schulenberger, J R
author_facet Yudovich, V I
Schulenberger, J R
author_sort Yudovich, V I
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1989
publisher American Mathematical Society
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spelling cern-23180962021-04-21T18:49:11Zhttp://cds.cern.ch/record/2318096engYudovich, V ISchulenberger, J RThe linearization method in hydrodynamical stability theoryOther Fields of PhysicsThis 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.American Mathematical Societyoai:cds.cern.ch:23180961989
spellingShingle Other Fields of Physics
Yudovich, V I
Schulenberger, J R
The linearization method in hydrodynamical stability theory
title The linearization method in hydrodynamical stability theory
title_full The linearization method in hydrodynamical stability theory
title_fullStr The linearization method in hydrodynamical stability theory
title_full_unstemmed The linearization method in hydrodynamical stability theory
title_short The linearization method in hydrodynamical stability theory
title_sort linearization method in hydrodynamical stability theory
topic Other Fields of Physics
url http://cds.cern.ch/record/2318096
work_keys_str_mv AT yudovichvi thelinearizationmethodinhydrodynamicalstabilitytheory
AT schulenbergerjr thelinearizationmethodinhydrodynamicalstabilitytheory
AT yudovichvi linearizationmethodinhydrodynamicalstabilitytheory
AT schulenbergerjr linearizationmethodinhydrodynamicalstabilitytheory

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