Abstract
The aim of this paper is to show that functionals similar to
the ‘virial’ function of classical mechanics can be introduced for several dynamical systems of fluid mechanics provided that those dynamical systems can be described by Hamilton’s principle of least action. The main requirement to ‘virials’ is their increasing by virtue of equations
of motion. Applications of those functionals to hydrodynamic stability theory are reviewed and further perspectives are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 691-709 |
| Number of pages | 18 |
| Journal | Moscow Mathematical Journal |
| Volume | 3 |
| Issue number | 2 |
| Publication status | Published - Apr 2003 |
Keywords
- Inviscid fluid;
- instability;
- virial;