Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incompressible Euler equations with stochastic forcing: a geometric
  approach   We consider stochastic versions of Euler--Arnold equations using the
infinite-dimensional geometric approach as pioneered by Ebin and Marsden. For
the Euler equation on a compact manifold (possibly with smooth boundary) we
establish local existence and uniqueness of a strong solution (in the
stochastic sense) in spaces of Sobolev mappings (of high enough regularity).
Our approach combines techniques from stochastic analysis and
infinite-dimensional geometry and provides a novel toolbox to establish local
well-posedness of stochastic Euler--Arnold equations.

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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex