Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new solving procedure for the Kelvin&Kirchhoff equations in case of
  falling a rotating torus   We present in this communication a new solving procedure for Kelvin&Kirchhoff
equations, considering the dynamics of falling the rigid rotating torus in an
ideal incompressible fluid, assuming additionally the dynamical symmetry of
rotation for the rotating body, I_1 = I_2. Fundamental law of angular momentum
conservation is used for the aforementioned solving procedure. The system of
Euler equations for dynamics of torus rotation is explored in regard to the
existence of an analytic way of presentation for the approximated solution
(where we consider the case of laminar flow at slow regime of torus rotation).
The second finding is associated with the fact that the Stokes boundary layer
phenomenon on the boundaries of the torus is also been assumed at formulation
of basic Kelvin&Kirchhoff equations (for which analytical expressions for the
components of fluid torque vector {T_2, T_3} were obtained earlier). The
results of calculations for the components of angular velocity should then be
used for full solving the momentum equation of Kelvin&Kirchhoff system.
Trajectories of motion can be divided into, preferably, 3 classes: zigzagging,
helical spiral motion, and the chaotic regime of oscillations.

25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org