Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical and numerical study of weakly nonlinear hyperbolic waves in a
  van der Waals gas   In this paper, we characterized resonant interaction of weakly nonlinear
hyperbolic waves in gas dynamics with a real gas background. An asymptotic
approach is used to study the interaction between waves, governed by the Euler
equations of gas dynamics, supplemented by a van der Waal equation of state;
the evolution equation is an integro-differential equation composed of a
Burgers type nonlinear term and a convolution term with a known kernel. A one
parameter family of traveling wave solutions for various values of van der
Waals parameter is studied analytically and numerically. Effect of the
influence of van der Waals parameter on the properties of traveling waves
solution is investigated. Numerical experiments on the evolution of arbitrary
initial data are performed using fractional step algorithm, describing the
behavior of convolution term in the integrodiffrential equation. The existence
of non breaking for all time solutions is substantiated numerically.

10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
18
The categories of this paper are: econ