Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Odd viscosity in two-dimensional incompressible fluids   In this work, we present observable consequences of parity-violating odd
viscosity term in incompressible 2+1D hydrodynamics. For boundary conditions
depending on the velocity field (flow) alone we show that: (i) The fluid flow
quantified by the velocity field is independent of odd viscosity, (ii) The
force acting on a closed contour is independent of odd viscosity, and (iii) The
odd viscosity part of torque on a closed contour is proportional to the rate of
change of area enclosed by the contour with the proportionality constant being
twice the odd viscosity. The last statement allows us to define a measurement
protocol of {\it odd viscostance} in analogy to Hall resistance measurements.
We also consider {\it no-stress} boundary conditions which explicitly depend on
odd viscosity. A classic hydrodynamics problem with no-stress boundary
conditions is that of a bubble in a planar Stokes flow. We solve this problem
exactly for shear and hyperbolic flows and show that the steady-state shape of
the bubble in the shear flow depends explicitly on the value of odd viscosity.

19
The categories of this paper are: eess
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph