Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mobility of an axisymmetric particle near an elastic interface   Using a fully analytical theory, we compute the leading order corrections to
the translational, rotational and translation-rotation coupling mobilities of
an arbitrary axisymmetric particle immersed in a Newtonian fluid moving near an
elastic cell membrane that exhibits resistance towards stretching and bending.
The frequency-dependent mobility corrections are expressed as general relations
involving separately the particle's shape-dependent bulk mobility and the
shape-independent parameters such as the membrane-particle distance, the
particle orientation and the characteristic frequencies associated with
shearing and bending of the membrane. This makes the equations applicable to an
arbitrary-shaped axisymmetric particle provided that its bulk mobilities are
known, either analytically or numerically. For a spheroidal particle, these
general relations reduce to simple expressions in terms of the particle's
eccentricity. We find that the corrections to the translation-rotation coupling
mobility are primarily determined by bending, whereas shearing manifests itself
in a more pronounced way in the rotational mobility. We demonstrate the
validity of the analytical approximations by a detailed comparison with
boundary integral simulations of a truly extended spheroidal particle. They are
found to be in a good agreement over the whole range of applied frequencies.

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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys