Applications of Group-Theoretical Methods in Hydrodynamics

Foreword. Preface. 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. Bibliography. Subject Index.