Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical analysis of memory effects and thermal relaxation in
  nonlinear sound waves on unbounded domains   Motivated by the propagation of nonlinear sound waves through relaxing
hereditary media, we study a nonlocal third-order Jordan-Moore-Gibson-Thompson
acoustic wave equation. Under the assumption that the relaxation kernel decays
exponentially, we prove local well-posedness in unbounded two- and
three-dimensional domains. In addition, we show that the solution of the
three-dimensional model exists globally in time for small and smooth data,
while the energy of the system decays polynomially.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio