Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ellipsoidal BGK model for polyatomic molecules near Maxwellians: A
  dichotomy in the dissipation estimate   We consider the global existence and asymptotic behavior of classical
solutions to the ellipsoidal BGK model for polyatomic molecules when the
initial data starts sufficiently close to a global polyatomic Maxwellian. We
observe that the linearized relaxation operator is decomposed into a trully
polyatomic part and a essentially monatomic part, leading to a dichotomy in the
dissipative property in the sense that the degeneracy of the dissipation shows
an abrupt jump as the relaxation parameter $\theta$ reaches zero. Accordingly,
we employ two different sets of micro-macro system to derive the full
coercivity and close the energy estimate.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph