Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescribing the motion of a set of particles in a 3D perfect fluid   We establish a result concerning the so-called Lagrangian controllability of
the Euler equation for incompressible perfect fluids in dimension 3. More
precisely we consider a connected bounded domain of R^3 and two smooth
contractible sets of fluid particles, surrounding the same volume. We prove
that given any initial velocity field, one can find a boundary control and a
time interval such that the corresponding solution of the Euler equation makes
the first of the two sets approximately reach the second one.

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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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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: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex