Applications of Group-Theoretical Methods in Hydrodynamics
Author:   V.K. Andreev ,  O.V. Kaptsov ,  Vladislav V. Pukhnachev ,  A.A. Rodionov
Publisher:   Springer
Edition:   1998 ed.
Volume:   450
ISBN:  

9780792352150


Pages:   396
Publication Date:   31 October 1998
Format:   Hardback
Availability:   In Print   Availability explained
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Applications of Group-Theoretical Methods in Hydrodynamics


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Overview

This volume presents applications of group analysis of differential equations to various models used in hydrodynamics. It contains many examples of exact solutions to the boundary value problems for the Euler and Navier-Stokes equations. These solutions describe vortex structures in an inviscid fluid, Marangoni boundary layers, thermal gravity convection and other interesting effects. Moreover, the book provides a method for finding solutions of nonlinear partial differential equations, which is illustrated by a number of examples, including equations for flows of a compressible ideal fluid in two and three dimensions. The work is reasonably self-contained and supplemented by examples of direct physical importance.

Full Product Details

Author:   V.K. Andreev ,  O.V. Kaptsov ,  Vladislav V. Pukhnachev ,  A.A. Rodionov
Publisher:   Springer
Imprint:   Springer
Edition:   1998 ed.
Volume:   450
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   1.660kg
ISBN:  

9780792352150


ISBN 10:   0792352157
Pages:   396
Publication Date:   31 October 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Group-Theoretic Classification of the Equations of Motion of a Homogeneous or Inhomogeneous Inviscid Fluid in the Presence of Planar and Rotational Symmetry.- 2. Exact Solutions to the Nonstationary Euler Equations in the Presence of Planar and Rotational Symmetry.- 3. Nonlinear Diffusion Equations and Invariant Manifolds.- 4. The Method of Defining Equations.- 5. Stationary Vortex Structures in an Ideal Fluid.- 6. Group-Theoretic Properties of the Equations of Motion for a Viscous Heat Conducting Liquid.- 7. Exact Solutions to the Equations of Dynamics for a Viscous Liquid.

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