Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic properties of small data solutions of the Vlasov-Maxwell
  system in high dimensions   We prove almost sharp decay estimates for the small data solutions and their
derivatives of the Vlasov-Maxwell system in dimension $n \geq 4$. The smallness
assumption concerns only certains weighted $L^1$ or $L^2$ norms of the initial
data. In particular, no compact support assumption is required on the Vlasov or
the Maxwell fields. The main ingredients of the proof are vector field methods
for both the kinetic and the wave equations, null properties of the
Vlasov-Maxwell system to control high velocities and a new decay estimate for
the velocity average of the solution of the relativistic massive transport
equation.
  We also consider the massless Vlasov-Maxwell system under a lower bound on
the velocity support of the Vlasov field. As we prove in this paper, the
velocity support of the Vlasov field needs to be initially bounded away from
$0$. We compensate the weaker decay estimate on the velocity averages of the
massless Vlasov field near the light cone by an extra null decomposition of the
velocity vector.

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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg