Applications of Group-Theoretical Methods in Hydrodynamics
It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involv...
| Main Authors: | , , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1998, 1998
|
| Edition: | 1st ed. 1998 |
| Series: | Mathematics and Its Applications
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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