Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimension reduction for the full Navier-Stokes-Fourier system   It is well known that the full Navier-Stokes-Fourier system does not possess
a strong solution in three dimensions which causes problems in applications.
However, when modeling the flow of a fluid in a thin long pipe, the influence
of the cross section can be neglected and the flow is basically
one-dimensional. This allows us to deal with strong solutions which are more
convenient for numerical computations. The goal of this paper is to provide a
rigorous justification of this approach. Namely, we prove that any suitable
weak solution to the three-dimensional NSF system tends to a strong solution to
the one-dimensional system as the thickness of the pipe tends to zero.

15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
16
The categories of this paper are: stat