Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion
Journal Article
·
· Phys. Fluids; (United States)
A Hamiltonian formulation using a noncanonical Poisson bracket is presented for a recently proposed model (Dokl. Akad. Nauk SSSR 293, 818 (1985) (Sov. Phys. Dokl. 32, 262 (1987))) of two-dimensional shallow-water hydrodynamics with nonlinear dispersion. Nonlinear integral invariants for this model are found to be in the kernel of the noncanonical Poisson bracket. A generalized Kelvin theorem is also given for the model.
- Research Organization:
- Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 6967107
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:8; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DEPTH
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
FLUID MECHANICS
HAMILTONIANS
HYDRODYNAMICS
HYDROGEN COMPOUNDS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MECHANICS
NONLINEAR PROBLEMS
OXYGEN COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
QUANTUM OPERATORS
TWO-DIMENSIONAL CALCULATIONS
WATER
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DEPTH
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
FLUID MECHANICS
HAMILTONIANS
HYDRODYNAMICS
HYDROGEN COMPOUNDS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MECHANICS
NONLINEAR PROBLEMS
OXYGEN COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
QUANTUM OPERATORS
TWO-DIMENSIONAL CALCULATIONS
WATER