Mechanics Of Fluid Deformations: Rigid Body Rotations And Plane Channel Flow Stability
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A01=Oleg V Troshkin
Author_Oleg V Troshkin
Category=PHV
Classical Imbedding Theorems and Spectrum for a Plane Channel
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Fluid Stability
Helmholtz Vortex Equation
Infinitely Dimensional Top Rotating Around a Fulcrum
Inflow Vorticities
Non-Linear Stationary Boundary Value Problems
Rayleigh-Taylor-Richtmayer-Meshkov Instabilities
Viscous Fluid Stability of Parabolic and Sinusoidal Velocity Profiles of Reynolds
Vortex Stability
Vortex Uniqueness Catastrophe for Smooth Stationary Flows of an Ideal Fluid
Product details
- ISBN 9789811230516
- Publication Date: 08 Apr 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book covers a new approach to analyzing hydrodynamic stability.With the use of standard remedies of functional analysis, theory of boundary value problems and infinitesimal Lie algebras, it is shown in the book that large vortex mushrooms of an ideal incompressible fluid in a vertical strip behind a water hammer proves to be 2D (plane-parallel) nonlinear (for arbitrary disturbances of initial velocities) and long wave stable. It is one of the many examples provided in the book discussing hydrodynamic stability.
