Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric form for the hyperbolic-parabolic system of fourth-gradient
  fluid model   The fourth-gradient model for fluids-associated with an extended molecular
mean-field theory of capillarity-is considered. By producing fluctuations of
density near the critical point like in computational molecular dynamics, the
model is more realistic and richer than van der Waals' one and other models
associated with a second order expansion. The aim of the paper is to prove-with
a fourth-gradient internal energy already obtained by the mean field
theory-that the quasi-linear system of conservation laws can be written in an
Hermitian symmetric form implying the stability of constant solutions. The
result extends the symmetric hyperbolicity property of governing-equations'
systems when an equation of energy associated with high order deformation of a
continuum medium is taken into account.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio