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**1 - 3**of**3**### 1 Formation and Primary Heating of The Solar Corona — Theory and Simulation

, 2000

"... An integrated Magneto–Fluid model, that accords full treatment to the Velocity fields associated with the directed plasma motion, is developed to investigate the dynamics of coronal structures. It is suggested that the interaction of the fluid and the magnetic aspects of plasma may be a crucial elem ..."

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An integrated Magneto–Fluid model, that accords full treatment to the Velocity fields associated with the directed plasma motion, is developed to investigate the dynamics of coronal structures. It is suggested that the interaction of the fluid and the magnetic aspects of plasma may be a crucial element in creating so much diversity in the solar atmosphere. It is shown that the structures which comprise the solar corona can be created by particle (plasma) flows observed near the Sun’s surface — the primary heating of these structures is caused by the viscous dissipation of the flow kinetic energy.

### On the Hamiltonian Description of Fluid Mechanics

, 2002

"... We suggest the Hamiltonian approach for fluid mechanics based on the dynamics, formulated in terms of Lagrangian variables. The construction of the canonical variables of the fluid sheds a light on the origin of Clebsh variabes, introduced in the previous century. The develoted formalism permitts to ..."

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We suggest the Hamiltonian approach for fluid mechanics based on the dynamics, formulated in terms of Lagrangian variables. The construction of the canonical variables of the fluid sheds a light on the origin of Clebsh variabes, introduced in the previous century. The develoted formalism permitts to relate the circulation conservation (Tompson theorem) with the invariance of the theory with respect to special diffiomorphisms and estublish also the new conservation laws. We discuss also the difference of the Eulerian and Lagrangian description, pointing out the incompeteness of the first. The constructed formalism is also applicable for ideal plasma. We conclude with several remarks on the quantization of the fluid. 1

### C 2 Formulation of Euler Fluid

, 2005

"... The Hamiltonian formalism for the continuous media is constructed using the representation of Euler variables in C 2 × ∞ phase space. 1 ..."

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The Hamiltonian formalism for the continuous media is constructed using the representation of Euler variables in C 2 × ∞ phase space. 1