Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On well-posedness for some dispersive perturbations of Burgers' equation   We show that the Cauchy problem for a class of dispersive perturbations of
Burgers' equations containing the low dispersion Benjamin-Ono equation
$\partial$\_t u -- D^$\alpha$\_x $\partial$\_x u = $\partial$\_x(u^2), 0 <
$\alpha$ $\le$ 1, is locally well-posed in H^s (R) when s > 3 /2 -- 5$\alpha$
/4. As a consequence, we obtain global well-posedness in the energy space
H^{$\alpha$/2} (R) as soon as $\alpha$ > 6/7 .

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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex