Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Degenerate Isoperimetric Problem and Traveling Waves to a Bi-stable
  Hamiltonian System   We analyze a non-standard isoperimetric problem in the plane associated with
a metric having degenerate conformal factor at two points. Under certain
assumptions on the conformal factor, we establish the existence of curves of
least length under a constraint associated with enclosed Euclidean area. As a
motivation for and application of this isoperimetric problem, we identify these
isoperimetric curves, appropriately parametrized, as traveling wave solutions
to a bi-stable Hamiltonian system of PDE's. We also determine the existence of
a maximal propagation speed for these traveling waves through an explicit upper
bound depending on the conformal factor.

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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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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: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga