Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness and singularity formation for the Kolmogorov two-equation
  model of turbulence in 1-D   We study the Kolomogorov two-equation model of turbulence in one space
dimension. Two are the main results of the paper. First of all, we establish a
local well-posedness theory in Sobolev spaces even in the case of vanishing
mean turbulent kinetic energy. Then, we show that, in general, those solutions
must blow up in finite time. To the best of our knowledge, these results are
the first establishing the well-posedness of the system for vanishing initial
data and the occurence of finite time singularities for the model under study.

7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th