Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence and stability of nearly aligned flocks   We study regularity of a hydrodynamic singular model of collective behavior
introduced in \cite{ST1}. In this note we address the question of global
well-posedness in multi-dimensional settings. It is shown that any initial data
$(u,\rho)$ with small velocity variations $|u(x) - u(y)| < \e$ relative to its
higher order norms, gives rise to a unique global regular solution which aligns
and flocks exponentially fast. Moreover, we prove that the limiting flocks are
stable.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat