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 Mechanics: Irrotational 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 ...
... 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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