Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of the flow of KdV with regard to the Wasserstein metrics and
  application to an invariant measure   In this paper, we prove the continuity of the flow of KdV on spaces of
probability measures with respect to a combination of Wasserstein distances on
$H^s$, $s>0$ and $L^2$. We are motivated by the existence of an invariant
measure belonging to the spaces onto which these distances are defined.

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The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc