Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional diffusion limit for collisional kinetic equations   This paper is devoted to diffusion limits of linear Boltzmann equations. When
the equilibrium distribution function is Maxwellian distribution, it is well
known that for an appropriate time scale, the small mean free path limit gives
rise to a diffusion equation. In this paper, we consider situations in which
the equilibrium distribution function is a heavy-tailed distribution with
infinite variance. We then show that for an appropriate time scale, the small
mean free path limit gives rise to a fractional diffusion equation.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat