Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large time behavior of solutions to a nonlinear hyperbolic relaxation
  system with slowly decaying data   We consider the large time asymptotic behavior of the global solutions to the
initial value problem for the nonlinear damped wave equation with slowly
decaying initial data. When the initial data decay fast enough, it is known
that the solution to this problem converges to the self-similar solution to the
Burgers equation called a nonlinear diffusion wave and its optimal asymptotic
rate is obtained. In this paper, we focus on the case that the initial data
decay more slowly than previous works and derive the corresponding asymptotic
profiles. Moreover, we investigate how the change of the decay rate of the
initial values affect its asymptotic rate.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th