Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local uniqueness of vortices for 2D steady Euler flow   We study the steady planar Euler flow in a bounded simply connected domain,
where the vortex function is $f=t_+^p$ with $p>0$ and the vorticity strength is
prescribed. By studying the location and local uniqueness of vortices, we prove
that the vorticity method and the stream function method actually give the same
solution. We also show that if the vorticity of flow is located near an
isolated minimum point and non-degenerate critical point of the Kirchhoff-Routh
function, it must be stable in the nonlinear sense.

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The categories of this paper are: dg-ga
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The categories of this paper are: eess
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org