Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interior controllability of surface gravity waves and the sloshing
  problem   We study the problem of controlling the free surface, by fluid jets on the
boundary, for a two dimensional solid container in the context of the gravity
waves and the sloshing problem. By using conformal maps and the
Dirichlet--Neumann operator, the problem is formulated as a second order
evolutionary equation on the free surface involving a self-adjoint operator. We
present then the appropriate Sobolev spaces where having solutions for the
system and study the exact controllability through an observability inequality
for the adjoint problem.

6
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: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph