Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric theory of flexible and expandable tubes conveying fluid:
  equations, solutions and shock waves   We present a theory for the three-dimensional evolution of tubes with
expandable walls conveying fluid. Our theory can accommodate arbitrary
deformations of the tube, arbitrary elasticity of the walls, and both
compressible and incompressible flows inside the tube. We also present the
theory of propagation of shock waves in such tubes and derive the conservation
laws and Rankine-Hugoniot conditions in arbitrary spatial configuration of the
tubes, and compute several examples of particular solutions. The theory is
derived from a variational treatment of Cosserat rod theory extended to
incorporate expandable walls and moving flow inside the tube. The results
presented here are useful for biological flows and industrial applications
involving high speed motion of gas in flexible tubes.

7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph