Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of the 2D Euler equation on a corner domain with non-constant
  vorticity around the corner   We consider the 2D incompressible Euler equation on a corner domain $\Omega$
with angle $\nu\pi$ with $\frac{1}{2}<\nu<1$. We prove that if the initial
vorticity $\omega_0 \in L^{1}(\Omega)\cap L^{\infty}(\Omega)$ and if $\omega_0$
is non-negative and supported on one side of the angle bisector of the domain,
then the weak solutions are unique. This is the first result which proves
uniqueness when the velocity is far from Lipschitz and the initial vorticity is
nontrivial around the boundary.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an