Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Very weak solutions of the Stokes problem in a convex polygon   Motivated by the study of the corner singularities in the so-called cavity
flow, we establish in this article, the existence and uniqueness of solutions
in $L^2(\Omega)^2$ for the Stokes problem in a domain $\Omega,$ when $\Omega$
is a smooth domain or a convex polygon. We establish also a trace theorem and
show that the trace of $u$ can be arbitrary in $L^2(\partial\Omega)^2.$ The
results are also extended to the linear evolution Stokes problem.

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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph