Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary Conditions for Hyperbolic Relaxation Systems with
  Characteristic Boundaries of Type II   This paper is a continuation of our preceding work on hyperbolic relaxation
systems with characteristic boundaries of type I. Here we focus on the
characteristic boundaries of type II, where the boundary is characteristic for
the equilibrium system and is non-characteristic for the relaxation system. For
this kind of characteristic initial-boundary-value problems (IBVPs), we
introduce a three-scale asymptotic expansion to analyze the boundary-layer
behaviors of the general multi-dimensional linear relaxation systems. Moreover,
we derive the reduced boundary condition under the Generalized Kreiss Condition
by resorting to some subtle matrix transformations and the perturbation theory
of linear operators. The reduced boundary condition is proved to satisfy the
Uniformed Kreiss Condition for characteristic IBVPs. Its validity is shown
through an error estimate involving the Fourier-Laplace transformation and an
energy method based on the structural stability condition.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph