Applications of Group-Theoretical Methods in Hydrodynamics
Author:   V.K. Andreev ,  O.V. Kaptsov ,  Vladislav V. Pukhnachev ,  A.A. Rodionov
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1998
Volume:   450
ISBN:  

9789048150830


Pages:   396
Publication Date:   04 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Applications of Group-Theoretical Methods in Hydrodynamics


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Overview

This book presents applications of group analysis of differential equations to various models used in hydrodynamics. It contains many new 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 new 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. Audience: This volume will be of interest to postgraduate students and researchers whose work involves partial differential equations, Lie groups, the mathematics of fluids, mathematical physics or fluid mechanics.

Full Product Details

Author:   V.K. Andreev ,  O.V. Kaptsov ,  Vladislav V. Pukhnachev ,  A.A. Rodionov
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1998
Volume:   450
Dimensions:   Width: 21.00cm , Height: 2.10cm , Length: 27.90cm
Weight:   1.011kg
ISBN:  

9789048150830


ISBN 10:   9048150833
Pages:   396
Publication Date:   04 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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