Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Globally hyperbolic moment model of arbitrary order for one-dimensional
  special relativistic Boltzmann equation   This paper extends the model reduction method by the operator projection to
the one-dimensional special relativistic Boltzmann equation. The derivation of
arbitrary order globally hyperbolic moment system is built on our careful study
of two families of the complicate Grad type orthogonal polynomials depending on
a parameter. We derive their recurrence relations, calculate their derivatives
with respect to the independent variable and parameter respectively, and study
their zeros and coefficient matrices in the recurrence formulas. Some
properties of the moment system are also proved. They include the eigenvalues
and their bound as well as eigenvectors,hyperbolicity, characteristic fields,
linear stability, and Lorentz covariance. A semi-implicit numerical scheme is
presented to solve a Cauchy problem of our hyperbolic moment system in order to
verify the convergence behavior of the moment method. The results show that the
solutions of our hyperbolic moment system can converge to the solution of the
special relativistic Boltzmann equation as the order of the hyperbolic moment
system increases.

30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol