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\(\mathbb C^{2}\) formulation of Euler liquid. (English) Zbl 1177.76016
Theor. Math. Phys. 148, No. 1, 980-985 (2006); translation from Teor. Mat. Fiz. 148, No. 1, 126-132 (2006).
Summary: We construct the Hamiltonian formalism for continuous media using the representation of Euler variables in a \(\mathbb C^{2} \times \infty \) phase space.
MSC:
76A05 Non-Newtonian fluids
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems
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