Poisson brackets of hydrodynamic type
Abstract
Theorems are presented concerning Poisson brackets of hydrodynamic type. Particular consideration is given to the Riemann geometry of multidimensional Poisson brackets of hydrodynamic type, Poisson brackets for inhomogeneous one-dimensional systems of hydrodynamic type, and higher-order differential-geometric brackets.
- Publication:
-
Akademiia Nauk SSSR Doklady
- Pub Date:
- 1984
- Bibcode:
- 1984DoSSR.279..294D
- Keywords:
-
- Hydrodynamic Equations;
- Poisson Equation;
- Riemann Manifold;
- Brackets;
- Computational Fluid Dynamics;
- Differential Equations;
- Hamiltonian Functions;
- Fluid Mechanics and Heat Transfer