Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Properties of Nonlinear Shell Models of Turbulence from
  Linear Advection Models: Rigorous Results   In a recent paper it was proposed that for some nonlinear shell models of
turbulence one can construct a linear advection model for an auxiliary field
such that the scaling exponents of all the structure functions of the linear
and nonlinear fields coincide.
  The argument depended on an assumption of continuity of the solutions as a
function of a parameter. The aim of this paper is to provide a rigorous proof
for the validity of the assumption. In addition we clarify here when the swap
of a nonlinear model by a linear one will not work.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga