Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regular solutions to the fractional Euler alignment system in the Besov
  spaces framework   We here construct (large) local and small global-in-time regular unique
solutions to the fractional Euler alignment system in the whole space ${\mathbb
R}^d$, in the case where the deviation of the initial density from a constant
is sufficiently small. Our analysis strongly relies on the use of Besov spaces
of the type $L^1(0,T;\dot B^s_{p,1})$, which allow to get time independent
estimates for the density even though it satisfies a transport equation with no
damping. Our choice of a functional setting is not optimal but aims at
providing a transparent and accessible argumentation.

26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ