Hamiltonian Fluid Mechanics

Hamiltonian fluid mechanics is the application of Hamiltonian methods to fluid mechanics. This formalism can only apply to nondissipative fluids.

Read more about Hamiltonian Fluid MechanicsIrrotational Barotropic Flow

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Hamiltonian Fluid Mechanics - Irrotational Barotropic Flow
... Take the simple example of a barotropic, inviscid vorticity-free fluid ... The Poisson bracket is given by and the Hamiltonian by where e is the internal energy density, as a function of ρ ... This Hamiltonian structure gives rise to the following two equations of motion where is the velocity and is vorticity-free ...

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