Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shear-density coupling for a compressible single-component yield-stress
  fluid   Flow behavior of a single-component yield stress fluid is addressed on the
hydrodynamic level. A basic ingredient of the model is a coupling between
fluctuations of density and velocity gradient via a Herschel-Bulkley-type
constitutive model. Focusing on the limit of low shear rates and high
densities, the model approximates well---but is not limited to---gently sheared
hard sphere colloidal glasses, where solvent effects are negligible. A detailed
analysis of the linearized hydrodynamic equations for fluctuations and the
resulting cubic dispersion relation reveals the existence of a range of
densities and shear rates with growing flow heterogeneity. In this regime,
after an initial transient, the velocity and density fields monotonically reach
a spatially inhomogeneous stationary profile, where regions of high shear rate
and low density coexist with regions of low shear rate and high density. The
steady state is thus maintained by a competition between shear-induced
enhancement of density inhomogeneities and relaxation via overdamped sound
waves. An analysis of the mechanical equilibrium condition provides a criterion
for the existence of steady state solutions. The dynamical evolution of the
system is discussed in detail for various boundary conditions, imposing either
a constant velocity, shear rate, or stress at the walls.

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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg