Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy Hierarchies for equations of compressible fluids and
  self-organized dynamics   We develop a method of obtaining a hierarchy of new higher-order entropies in
the context of compressible models with local and non-local diffusion and
isentropic pressure. The local viscosity is allowed to degenerate as the
density approaches vacuum. The method provides a tool to propagate initial
regularity of classical solutions provided no vacuum has formed and serves as
an alternative to the classical energy method. We obtain a series of global
well-posedness results for state laws in previously uncovered cases including
$p(\rho) = c_p \rho$. As an application we prove global well-posedness of
collective behavior models with pressure arising from agent-based Cucker-Smale
system.

21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn