Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Propagation of moments for large data and semiclassical limit to the
  relativistic Vlasov equation   We investigate the semiclassical limit from the semi-relativistic
Hartree-Fock equation describing the time evolution of a system of fermions in
the mean-field regime with a relativistic dispersion law and interacting
through a singular potential of the form $K(x)=\gamma\frac{1}{|x|^a}$, $a \in
\left( \max \left\{ \frac{d}{2} -2 , - 1 \right\}, d-2 \right]$, $d\in\{2,3\}$
and $\gamma\in\mathbb{R}$, with the convention $K(x)=\gamma\log(|x|)$ if $a=0$.
For mixed states, we show convergence in Schatten norms with explicit rate
towards the Weyl transform of a solution to the relativistic Vlasov equation
with singular potentials, thus generalizing [J. Stat. Phys. 172 (2), 398--433
(2018)] where the case of smooth potentials has been treated. Moreover, we
provide new results on the well-posedness theory of the relativistic Vlasov
equations with singular interactions.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph