Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flexoelectric fluid membranes in electric field. Shape equations and
  exact solutions   The shape equation for an axisymmetric fluid membrane is derived, assuming
action of an uniform external electric field. The flexoelectric contribution to
the free energy of the membrane, stemming from the latter is accounted within
the theory by Steigmann and Agrawal. Additionally, we have introduced, in the
aforementioned functional, another term associated with a curvature induced
membrane polarization, as the latter was first hypothesized by A. Petrov. Some
exact Naito-type solutions of the studied equation are given, with the free
parameters linked to the model ones.

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The categories of this paper are: eess
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The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph