Theoretical and Mathematical Physics

, Volume 91, Issue 3, pp 634–641 | Cite as

The ξ-compensator method in hydrodynamics

  • S. Yu. Shishkov


Some aspects of the Hamiltonian formalism for the dynamics of an inhomogeneous incompressible fluid relating to methods of calculating the Poisson brackets in definite problems are considered. As an example, the Poisson bracket of local velocities is calculated. The computational technique is based on the method of ξ-compensators. It is shown that a previously established expression for this Poisson bracket can indeed be obtained from the general expression for {F, G} by the ξ-compensator method.


General Expression Poisson Bracket Incompressible Fluid Computational Technique Definite Problem 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • S. Yu. Shishkov

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