Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Behavior of the Solution to the Klein-Gordon-Zakharov Model
  in Dimension Two   Consider the Klein-Gordon-Zakharov equations in $\mathbb{R}^{1+2}$, and we
are interested in establishing the small global solution to the equations and
in investigating the pointwise asymptotic behavior of the solution. The
Klein-Gordon-Zakharov equations can be regarded as a coupled semilinear wave
and Klein-Gordon system with quadratic nonlinearities which do not satisfy the
null conditions, and the fact that wave components and Klein-Gordon components
do not decay sufficiently fast makes it harder to conduct the analysis. In
order to conquer the difficulties, we will rely on the hyperboloidal foliation
method and a minor variance of the ghost weight method. As a side result of the
analysis, we are also able to show the small data global existence result for a
class of quasilinear wave and Klein-Gordon system violating the null
conditions.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat