Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence to the Landau equation from the truncated BBGKY hierarchy in
  the weak-coupling limit   We consider the evolution of the one-particle function in the weak-coupling
limit in three space dimensions, obtained by truncating the BBGKY hierarchy
under a propagation of chaos approximation. For this dynamics, we rigorously
show the convergence to a solution of the Landau equation, keeping the full
singularity of the Landau kernel. This resolves the issue arising from [10],
where the singular region has been removed artificially. Since the singularity
appears in the Landau equation due to the geometry of particle interactions, it
is an intrinsic physical property of the weak-coupling limit which is crucial
to the understanding of the transition from particle systems to the Landau
equation.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
16
The categories of this paper are: stat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci